diff --git a/lib/cf-capsule.c b/lib/cf-capsule.c
index 333a8d7efe..faf837dd6c 100644
--- a/lib/cf-capsule.c
+++ b/lib/cf-capsule.c
@@ -59,24 +59,6 @@ static void capsule_cf_destroy(struct Curl_cfilter *cf,
   }
 }
 
-static void capsule_cf_close(struct Curl_cfilter *cf,
-                             struct Curl_easy *data)
-{
-  struct cf_capsule_ctx *ctx = cf->ctx;
-
-  CURL_TRC_CF(data, cf, "close");
-  cf->connected = FALSE;
-  if(ctx) {
-    Curl_bufq_reset(&ctx->recvbuf);
-    curlx_safefree(ctx->pending);
-    ctx->pending_len = 0;
-    ctx->pending_offset = 0;
-    ctx->pending_payload = 0;
-  }
-  if(cf->next)
-    cf->next->cft->do_close(cf->next, data);
-}
-
 static CURLcode capsule_cf_connect(struct Curl_cfilter *cf,
                                    struct Curl_easy *data,
                                    bool *done)
@@ -212,7 +194,6 @@ struct Curl_cftype Curl_cft_capsule = {
   0,
   capsule_cf_destroy,
   capsule_cf_connect,
-  capsule_cf_close,
   Curl_cf_def_shutdown,
   Curl_cf_def_adjust_pollset,
   capsule_cf_data_pending,
diff --git a/lib/cf-dns.c b/lib/cf-dns.c
index b75b5620eb..3453202eb1 100644
--- a/lib/cf-dns.c
+++ b/lib/cf-dns.c
@@ -310,13 +310,6 @@ static void cf_dns_destroy(struct Curl_cfilter *cf, struct Curl_easy *data)
   cf_dns_ctx_destroy(data, ctx);
 }
 
-static void cf_dns_close(struct Curl_cfilter *cf, struct Curl_easy *data)
-{
-  cf->connected = FALSE;
-  if(cf->next)
-    cf->next->cft->do_close(cf->next, data);
-}
-
 static CURLcode cf_dns_adjust_pollset(struct Curl_cfilter *cf,
                                       struct Curl_easy *data,
                                       struct easy_pollset *ps)
@@ -362,7 +355,6 @@ struct Curl_cftype Curl_cft_dns = {
   CURL_LOG_LVL_NONE,
   cf_dns_destroy,
   cf_dns_connect,
-  cf_dns_close,
   Curl_cf_def_shutdown,
   cf_dns_adjust_pollset,
   Curl_cf_def_data_pending,
diff --git a/lib/cf-h1-proxy.c b/lib/cf-h1-proxy.c
index 5dd02b2b0a..f7974a9931 100644
--- a/lib/cf-h1-proxy.c
+++ b/lib/cf-h1-proxy.c
@@ -757,9 +757,7 @@ static CURLcode H1_CONNECT(struct Curl_cfilter *cf,
            */
           CURL_TRC_CF(data, cf, "CONNECT need to close+open");
           infof(data, "Connect me again please");
-          Curl_conn_cf_close(cf, data);
-          result = Curl_conn_cf_connect(cf->next, data, &done);
-          return result;
+          return CURLE_AGAIN;
         }
         else {
           /* staying on this connection, reset state */
@@ -905,18 +903,6 @@ static void cf_h1_proxy_destroy(struct Curl_cfilter *cf,
   curlx_safefree(cf->ctx);
 }
 
-static void cf_h1_proxy_close(struct Curl_cfilter *cf,
-                              struct Curl_easy *data)
-{
-  struct cf_h1_proxy_ctx *pctx = cf->ctx;
-  CURL_TRC_CF(data, cf, "close");
-  cf->connected = FALSE;
-  if(pctx && pctx->ts)
-    h1_tunnel_go_state(cf, pctx->ts, H1_TUNNEL_INIT, data);
-  if(cf->next)
-    cf->next->cft->do_close(cf->next, data);
-}
-
 static CURLcode cf_h1_proxy_query(struct Curl_cfilter *cf,
                                   struct Curl_easy *data,
                                   int query, int *pres1, void *pres2)
@@ -950,7 +936,6 @@ struct Curl_cftype Curl_cft_h1_proxy = {
   0,
   cf_h1_proxy_destroy,
   cf_h1_proxy_connect,
-  cf_h1_proxy_close,
   Curl_cf_def_shutdown,
   cf_h1_proxy_adjust_pollset,
   cf_h1_proxy_data_pending,
diff --git a/lib/cf-h2-proxy.c b/lib/cf-h2-proxy.c
index 316ed6c75a..f8e5acb055 100644
--- a/lib/cf-h2-proxy.c
+++ b/lib/cf-h2-proxy.c
@@ -1034,21 +1034,6 @@ out:
   return result;
 }
 
-static void cf_h2_proxy_close(struct Curl_cfilter *cf, struct Curl_easy *data)
-{
-  struct cf_h2_proxy_ctx *ctx = cf->ctx;
-
-  if(ctx) {
-    struct cf_call_data save;
-
-    CF_DATA_SAVE(save, cf, data);
-    cf_h2_proxy_ctx_clear(ctx);
-    CF_DATA_RESTORE(cf, save);
-  }
-  if(cf->next)
-    cf->next->cft->do_close(cf->next, data);
-}
-
 static void cf_h2_proxy_destroy(struct Curl_cfilter *cf,
                                 struct Curl_easy *data)
 {
@@ -1484,7 +1469,6 @@ struct Curl_cftype Curl_cft_h2_proxy = {
   CURL_LOG_LVL_NONE,
   cf_h2_proxy_destroy,
   cf_h2_proxy_connect,
-  cf_h2_proxy_close,
   cf_h2_proxy_shutdown,
   cf_h2_proxy_adjust_pollset,
   cf_h2_proxy_data_pending,
diff --git a/lib/cf-h3-proxy.c b/lib/cf-h3-proxy.c
index d5fb45e73d..eee70e5e81 100644
--- a/lib/cf-h3-proxy.c
+++ b/lib/cf-h3-proxy.c
@@ -3374,24 +3374,6 @@ static void cf_h3_proxy_destroy(struct Curl_cfilter *cf,
   }
 }
 
-static void cf_h3_proxy_close(struct Curl_cfilter *cf, struct Curl_easy *data)
-{
-  struct cf_h3_proxy_ctx *ctx = cf->ctx;
-
-  if(ctx) {
-    if(ctx->ngtcp2_ctx) {
-      cf_ngtcp2_proxy_close(cf, data);
-      cf_ngtcp2_proxy_ctx_free(ctx->ngtcp2_ctx);
-      ctx->ngtcp2_ctx = NULL;
-    }
-    cf_h3_proxy_ctx_clear(ctx);
-    cf->connected = FALSE;
-  }
-
-  if(cf->next)
-    cf->next->cft->do_close(cf->next, data);
-}
-
 static CURLcode cf_h3_proxy_shutdown(struct Curl_cfilter *cf,
                                      struct Curl_easy *data, bool *done)
 {
@@ -3404,7 +3386,6 @@ struct Curl_cftype Curl_cft_h3_proxy = {
   CURL_LOG_LVL_NONE,
   cf_h3_proxy_destroy,
   cf_h3_proxy_connect,
-  cf_h3_proxy_close,
   cf_h3_proxy_shutdown,
   cf_h3_proxy_adjust_pollset,
   cf_h3_proxy_data_pending,
diff --git a/lib/cf-haproxy.c b/lib/cf-haproxy.c
index afa7b55b78..1b9e0791f1 100644
--- a/lib/cf-haproxy.c
+++ b/lib/cf-haproxy.c
@@ -45,13 +45,6 @@ struct cf_haproxy_ctx {
   struct dynbuf data_out;
 };
 
-static void cf_haproxy_ctx_reset(struct cf_haproxy_ctx *ctx)
-{
-  DEBUGASSERT(ctx);
-  ctx->state = HAPROXY_INIT;
-  curlx_dyn_reset(&ctx->data_out);
-}
-
 static void cf_haproxy_ctx_free(struct cf_haproxy_ctx *ctx)
 {
   if(ctx) {
@@ -173,16 +166,6 @@ static void cf_haproxy_destroy(struct Curl_cfilter *cf,
   cf_haproxy_ctx_free(cf->ctx);
 }
 
-static void cf_haproxy_close(struct Curl_cfilter *cf,
-                             struct Curl_easy *data)
-{
-  CURL_TRC_CF(data, cf, "close");
-  cf->connected = FALSE;
-  cf_haproxy_ctx_reset(cf->ctx);
-  if(cf->next)
-    cf->next->cft->do_close(cf->next, data);
-}
-
 static CURLcode cf_haproxy_adjust_pollset(struct Curl_cfilter *cf,
                                           struct Curl_easy *data,
                                           struct easy_pollset *ps)
@@ -202,7 +185,6 @@ struct Curl_cftype Curl_cft_haproxy = {
   0,
   cf_haproxy_destroy,
   cf_haproxy_connect,
-  cf_haproxy_close,
   Curl_cf_def_shutdown,
   cf_haproxy_adjust_pollset,
   Curl_cf_def_data_pending,
diff --git a/lib/cf-https-connect.c b/lib/cf-https-connect.c
index 8e8f73138c..c42701a15e 100644
--- a/lib/cf-https-connect.c
+++ b/lib/cf-https-connect.c
@@ -62,7 +62,6 @@ static void cf_hc_baller_discard(struct cf_hc_baller *b,
                                  struct Curl_easy *data)
 {
   if(b->cf) {
-    Curl_conn_cf_close(b->cf, data);
     Curl_conn_cf_discard_chain(&b->cf, data);
     b->cf = NULL;
   }
@@ -731,18 +730,6 @@ out:
   return result;
 }
 
-static void cf_hc_close(struct Curl_cfilter *cf, struct Curl_easy *data)
-{
-  CURL_TRC_CF(data, cf, "close");
-  cf_hc_ctx_close(data, cf->ctx);
-  cf->connected = FALSE;
-
-  if(cf->next) {
-    cf->next->cft->do_close(cf->next, data);
-    Curl_conn_cf_discard_chain(&cf->next, data);
-  }
-}
-
 static void cf_hc_destroy(struct Curl_cfilter *cf, struct Curl_easy *data)
 {
   struct cf_hc_ctx *ctx = cf->ctx;
@@ -757,7 +744,6 @@ struct Curl_cftype Curl_cft_http_connect = {
   CURL_LOG_LVL_NONE,
   cf_hc_destroy,
   cf_hc_connect,
-  cf_hc_close,
   cf_hc_shutdown,
   cf_hc_adjust_pollset,
   cf_hc_data_pending,
diff --git a/lib/cf-ip-happy.c b/lib/cf-ip-happy.c
index cfada937c8..e2a49b82aa 100644
--- a/lib/cf-ip-happy.c
+++ b/lib/cf-ip-happy.c
@@ -891,22 +891,6 @@ out:
   return result;
 }
 
-static void cf_ip_happy_close(struct Curl_cfilter *cf,
-                              struct Curl_easy *data)
-{
-  struct cf_ip_happy_ctx *ctx = cf->ctx;
-
-  CURL_TRC_CF(data, cf, "close");
-  cf_ip_happy_ctx_clear(cf, data);
-  cf->connected = FALSE;
-  ctx->state = SCFST_INIT;
-
-  if(cf->next) {
-    cf->next->cft->do_close(cf->next, data);
-    Curl_conn_cf_discard_chain(&cf->next, data);
-  }
-}
-
 static bool cf_ip_happy_data_pending(struct Curl_cfilter *cf,
                                      const struct Curl_easy *data)
 {
@@ -971,7 +955,6 @@ struct Curl_cftype Curl_cft_ip_happy = {
   CURL_LOG_LVL_NONE,
   cf_ip_happy_destroy,
   cf_ip_happy_connect,
-  cf_ip_happy_close,
   cf_ip_happy_shutdown,
   cf_ip_happy_adjust_pollset,
   cf_ip_happy_data_pending,
diff --git a/lib/cf-socket.c b/lib/cf-socket.c
index 729f8748bf..8673562de2 100644
--- a/lib/cf-socket.c
+++ b/lib/cf-socket.c
@@ -972,24 +972,6 @@ static CURLcode cf_socket_ctx_init(struct cf_socket_ctx *ctx,
   return CURLE_OK;
 }
 
-static void cf_socket_close(struct Curl_cfilter *cf, struct Curl_easy *data)
-{
-  struct cf_socket_ctx *ctx = cf->ctx;
-
-  if(ctx && ctx->sock != CURL_SOCKET_BAD) {
-    CURL_TRC_CF(data, cf, "cf_socket_close, fd=%" FMT_SOCKET_T, ctx->sock);
-    if(ctx->sock == cf->conn->sock[cf->sockindex])
-      cf->conn->sock[cf->sockindex] = CURL_SOCKET_BAD;
-    socket_close(data, cf->conn, !ctx->accepted, ctx->sock);
-    ctx->sock = CURL_SOCKET_BAD;
-    ctx->active = FALSE;
-    memset(&ctx->started_at, 0, sizeof(ctx->started_at));
-    memset(&ctx->connected_at, 0, sizeof(ctx->connected_at));
-  }
-
-  cf->connected = FALSE;
-}
-
 static CURLcode cf_socket_shutdown(struct Curl_cfilter *cf,
                                    struct Curl_easy *data,
                                    bool *done)
@@ -1016,10 +998,16 @@ static void cf_socket_destroy(struct Curl_cfilter *cf, struct Curl_easy *data)
 {
   struct cf_socket_ctx *ctx = cf->ctx;
 
-  cf_socket_close(cf, data);
   CURL_TRC_CF(data, cf, "destroy");
-  curlx_free(ctx);
-  cf->ctx = NULL;
+  if(ctx) {
+    if(ctx->sock != CURL_SOCKET_BAD) {
+      CURL_TRC_CF(data, cf, "cf_socket_close, fd=%" FMT_SOCKET_T, ctx->sock);
+      if(ctx->sock == cf->conn->sock[cf->sockindex])
+        cf->conn->sock[cf->sockindex] = CURL_SOCKET_BAD;
+      socket_close(data, cf->conn, !ctx->accepted, ctx->sock);
+    }
+    curlx_free(ctx);
+  }
 }
 
 static void set_local_ip(struct Curl_cfilter *cf,
@@ -1752,7 +1740,6 @@ struct Curl_cftype Curl_cft_tcp = {
   CURL_LOG_LVL_NONE,
   cf_socket_destroy,
   cf_tcp_connect,
-  cf_socket_close,
   cf_socket_shutdown,
   cf_socket_adjust_pollset,
   Curl_cf_def_data_pending,
@@ -1920,7 +1907,6 @@ struct Curl_cftype Curl_cft_udp = {
   CURL_LOG_LVL_NONE,
   cf_socket_destroy,
   cf_udp_connect,
-  cf_socket_close,
   cf_socket_shutdown,
   cf_socket_adjust_pollset,
   Curl_cf_def_data_pending,
@@ -1976,7 +1962,6 @@ struct Curl_cftype Curl_cft_unix = {
   CURL_LOG_LVL_NONE,
   cf_socket_destroy,
   cf_tcp_connect,
-  cf_socket_close,
   cf_socket_shutdown,
   cf_socket_adjust_pollset,
   Curl_cf_def_data_pending,
@@ -2208,7 +2193,6 @@ struct Curl_cftype Curl_cft_tcp_accept = {
   CURL_LOG_LVL_NONE,
   cf_socket_destroy,
   cf_tcp_accept_connect,
-  cf_socket_close,
   cf_socket_shutdown,
   cf_socket_adjust_pollset,
   Curl_cf_def_data_pending,
diff --git a/lib/cfilters.c b/lib/cfilters.c
index 46c17c199d..b2ad4a03cb 100644
--- a/lib/cfilters.c
+++ b/lib/cfilters.c
@@ -33,17 +33,6 @@
 #include "select.h"
 #include "curlx/strparse.h"
 
-#ifdef UNITTESTS
-/* @unittest 2600 */
-UNITTEST void cf_def_close(struct Curl_cfilter *cf, struct Curl_easy *data);
-UNITTEST void cf_def_close(struct Curl_cfilter *cf, struct Curl_easy *data)
-{
-  cf->connected = FALSE;
-  if(cf->next)
-    cf->next->cft->do_close(cf->next, data);
-}
-#endif
-
 CURLcode Curl_cf_def_shutdown(struct Curl_cfilter *cf,
                               struct Curl_easy *data, bool *done)
 {
@@ -169,22 +158,11 @@ void Curl_conn_cf_discard_chain(struct Curl_cfilter **pcf,
 void Curl_conn_cf_discard_all(struct Curl_easy *data,
                               struct connectdata *conn, int sockindex)
 {
+  struct curltime *pt = &conn->shutdown.start[sockindex];
+  memset(pt, 0, sizeof(*pt));
   Curl_conn_cf_discard_chain(&conn->cfilter[sockindex], data);
 }
 
-void Curl_conn_close(struct Curl_easy *data, int sockindex)
-{
-  struct Curl_cfilter *cf;
-
-  DEBUGASSERT(data->conn);
-  /* it is valid to call that without filters being present */
-  cf = data->conn->cfilter[sockindex];
-  if(cf) {
-    cf->cft->do_close(cf, data);
-  }
-  Curl_shutdown_clear(data, sockindex);
-}
-
 CURLcode Curl_conn_shutdown(struct Curl_easy *data, int sockindex, bool *done)
 {
   struct Curl_cfilter *cf;
@@ -426,12 +404,6 @@ CURLcode Curl_conn_cf_connect(struct Curl_cfilter *cf,
   return CURLE_FAILED_INIT;
 }
 
-void Curl_conn_cf_close(struct Curl_cfilter *cf, struct Curl_easy *data)
-{
-  if(cf)
-    cf->cft->do_close(cf, data);
-}
-
 CURLcode Curl_conn_cf_send(struct Curl_cfilter *cf, struct Curl_easy *data,
                            const uint8_t *buf, size_t len, bool eos,
                            size_t *pnwritten)
diff --git a/lib/cfilters.h b/lib/cfilters.h
index f4a03b8a2b..17cc634b37 100644
--- a/lib/cfilters.h
+++ b/lib/cfilters.h
@@ -39,10 +39,6 @@ struct curl_tlssessioninfo;
 typedef void     Curl_cft_destroy_this(struct Curl_cfilter *cf,
                                        struct Curl_easy *data);
 
-/* Callback to close the connection immediately. */
-typedef void     Curl_cft_close(struct Curl_cfilter *cf,
-                                struct Curl_easy *data);
-
 /* Callback to close the connection filter gracefully, non-blocking.
  * Implementations MUST NOT chain calls to cf->next.
  */
@@ -218,7 +214,6 @@ struct Curl_cftype {
   int log_level;                           /* log level for such filters */
   Curl_cft_destroy_this *destroy;          /* destroy resources of this cf */
   Curl_cft_connect *do_connect;            /* establish connection */
-  Curl_cft_close *do_close;                /* close conn */
   Curl_cft_shutdown *do_shutdown;          /* shutdown conn */
   Curl_cft_adjust_pollset *adjust_pollset; /* adjust transfer poll set */
   Curl_cft_data_pending *has_data_pending; /* conn has data pending */
@@ -322,7 +317,6 @@ void Curl_conn_cf_discard_all(struct Curl_easy *data,
 CURLcode Curl_conn_cf_connect(struct Curl_cfilter *cf,
                               struct Curl_easy *data,
                               bool *done);
-void Curl_conn_cf_close(struct Curl_cfilter *cf, struct Curl_easy *data);
 CURLcode Curl_conn_cf_send(struct Curl_cfilter *cf, struct Curl_easy *data,
                            const uint8_t *buf, size_t len, bool eos,
                            size_t *pnwritten);
@@ -433,12 +427,6 @@ unsigned char Curl_conn_get_transport(struct Curl_easy *data,
 const char *Curl_conn_get_alpn_negotiated(struct Curl_easy *data,
                                           struct connectdata *conn);
 
-/**
- * Close the filter chain at `sockindex` for connection `data->conn`.
- * Filters remain in place and may be connected again afterwards.
- */
-void Curl_conn_close(struct Curl_easy *data, int sockindex);
-
 /**
  * Shutdown the connection at `sockindex` non-blocking, using timeout
  * from `data->set.shutdowntimeout`, default DEFAULT_SHUTDOWN_TIMEOUT_MS.
diff --git a/lib/connect.c b/lib/connect.c
index 9d74e35bc7..119231a96a 100644
--- a/lib/connect.c
+++ b/lib/connect.c
@@ -341,6 +341,7 @@ struct cf_setup_ctx {
   cf_setup_state state;
   int ssl_mode;
   uint8_t transport;
+  uint8_t retry_count;
 };
 
 #ifndef CURL_DISABLE_PROXY
@@ -538,9 +539,9 @@ static CURLcode cf_setup_add_origin_filters(struct Curl_cfilter *cf,
   return result;
 }
 
-static CURLcode cf_setup_connect(struct Curl_cfilter *cf,
-                                 struct Curl_easy *data,
-                                 bool *done)
+static CURLcode cf_setup_connect_steps(struct Curl_cfilter *cf,
+                                       struct Curl_easy *data,
+                                       bool *done)
 {
   struct cf_setup_ctx *ctx = cf->ctx;
   CURLcode result = CURLE_OK;
@@ -600,19 +601,32 @@ connect_sub_chain:
   return CURLE_OK;
 }
 
-static void cf_setup_close(struct Curl_cfilter *cf,
-                           struct Curl_easy *data)
+static CURLcode cf_setup_connect(struct Curl_cfilter *cf,
+                                 struct Curl_easy *data,
+                                 bool *done)
 {
   struct cf_setup_ctx *ctx = cf->ctx;
+  CURLcode result;
 
-  CURL_TRC_CF(data, cf, "close");
-  cf->connected = FALSE;
-  ctx->state = CF_SETUP_INIT;
+  /* In some situations, a server/proxy may close the connection and
+   * we need to connect again (HTTP/1.x proxy auth, for example).
+   * We used to close the filters and reuse them for another attempt,
+   * however that complicates filter code and it is simpler to tear them
+   * all down and start over. */
+retry:
+  result = cf_setup_connect_steps(cf, data, done);
 
-  if(cf->next) {
-    cf->next->cft->do_close(cf->next, data);
+  if(result == CURLE_AGAIN) {
+    ++ctx->retry_count;
+    if(ctx->retry_count > 5) /* arbitrary limit, better just timeout? */
+      return CURLE_COULDNT_CONNECT;
+
+    CURL_TRC_CF(data, cf, "retrying connect, %d. time", ctx->retry_count);
     Curl_conn_cf_discard_chain(&cf->next, data);
+    ctx->state = CF_SETUP_INIT;
+    goto retry;
   }
+  return result;
 }
 
 static void cf_setup_destroy(struct Curl_cfilter *cf, struct Curl_easy *data)
@@ -629,7 +643,6 @@ struct Curl_cftype Curl_cft_setup = {
   CURL_LOG_LVL_NONE,
   cf_setup_destroy,
   cf_setup_connect,
-  cf_setup_close,
   Curl_cf_def_shutdown,
   Curl_cf_def_adjust_pollset,
   Curl_cf_def_data_pending,
diff --git a/lib/cshutdn.c b/lib/cshutdn.c
index f284c0ea7c..cc77e401fd 100644
--- a/lib/cshutdn.c
+++ b/lib/cshutdn.c
@@ -150,8 +150,8 @@ void Curl_cshutdn_terminate(struct Curl_easy *data,
   CURL_TRC_M(admin, "[SHUTDOWN] %sclosing connection #%" FMT_OFF_T,
              conn->bits.shutdown_filters ? "" : "force ",
              conn->connection_id);
-  Curl_conn_close(admin, SECONDARYSOCKET);
-  Curl_conn_close(admin, FIRSTSOCKET);
+  Curl_conn_cf_discard_all(admin, conn, SECONDARYSOCKET);
+  Curl_conn_cf_discard_all(admin, conn, FIRSTSOCKET);
   Curl_detach_connection(admin);
 
   if(data->multi)
diff --git a/lib/ftp.c b/lib/ftp.c
index 5a37856fd6..864fb1509c 100644
--- a/lib/ftp.c
+++ b/lib/ftp.c
@@ -355,7 +355,6 @@ static void close_secondarysocket(struct Curl_easy *data,
 {
   (void)ftpc;
   CURL_TRC_FTP(data, "[%s] closing DATA connection", FTP_CSTATE(ftpc));
-  Curl_conn_close(data, SECONDARYSOCKET);
   Curl_conn_cf_discard_all(data, data->conn, SECONDARYSOCKET);
 }
 
diff --git a/lib/http2.c b/lib/http2.c
index ab70455fae..736c04e100 100644
--- a/lib/http2.c
+++ b/lib/http2.c
@@ -189,6 +189,8 @@ static void cf_h2_ctx_init(struct cf_h2_ctx *ctx, bool via_h1_upgrade)
 static void cf_h2_ctx_free(struct cf_h2_ctx *ctx)
 {
   if(ctx && ctx->initialized) {
+    if(ctx->h2)
+      nghttp2_session_del(ctx->h2);
     Curl_bufq_free(&ctx->inbufq);
     Curl_bufq_free(&ctx->outbufq);
     Curl_bufcp_free(&ctx->stream_bufcp);
@@ -199,14 +201,6 @@ static void cf_h2_ctx_free(struct cf_h2_ctx *ctx)
   curlx_free(ctx);
 }
 
-static void cf_h2_ctx_close(struct cf_h2_ctx *ctx)
-{
-  if(ctx->h2) {
-    nghttp2_session_del(ctx->h2);
-    ctx->h2 = NULL;
-  }
-}
-
 static uint32_t cf_h2_initial_win_size(struct Curl_easy *data)
 {
 #if NGHTTP2_HAS_SET_LOCAL_WINDOW_SIZE
@@ -2550,22 +2544,6 @@ out:
   return result;
 }
 
-static void cf_h2_close(struct Curl_cfilter *cf, struct Curl_easy *data)
-{
-  struct cf_h2_ctx *ctx = cf->ctx;
-
-  if(ctx) {
-    struct cf_call_data save;
-
-    CF_DATA_SAVE(save, cf, data);
-    cf_h2_ctx_close(ctx);
-    CF_DATA_RESTORE(cf, save);
-    cf->connected = FALSE;
-  }
-  if(cf->next)
-    cf->next->cft->do_close(cf->next, data);
-}
-
 static void cf_h2_destroy(struct Curl_cfilter *cf, struct Curl_easy *data)
 {
   struct cf_h2_ctx *ctx = cf->ctx;
@@ -2788,7 +2766,6 @@ struct Curl_cftype Curl_cft_nghttp2 = {
   CURL_LOG_LVL_NONE,
   cf_h2_destroy,
   cf_h2_connect,
-  cf_h2_close,
   cf_h2_shutdown,
   cf_h2_adjust_pollset,
   cf_h2_data_pending,
diff --git a/lib/http_proxy.c b/lib/http_proxy.c
index 9f1ed7963c..17e834aaf2 100644
--- a/lib/http_proxy.c
+++ b/lib/http_proxy.c
@@ -709,22 +709,12 @@ static void http_proxy_cf_destroy(struct Curl_cfilter *cf,
   }
 }
 
-static void http_proxy_cf_close(struct Curl_cfilter *cf,
-                                struct Curl_easy *data)
-{
-  CURL_TRC_CF(data, cf, "close");
-  cf->connected = FALSE;
-  if(cf->next)
-    cf->next->cft->do_close(cf->next, data);
-}
-
 struct Curl_cftype Curl_cft_http_proxy = {
   "HTTP-PROXY",
   CF_TYPE_IP_CONNECT | CF_TYPE_PROXY | CF_TYPE_SETUP,
   0,
   http_proxy_cf_destroy,
   http_proxy_cf_connect,
-  http_proxy_cf_close,
   Curl_cf_def_shutdown,
   Curl_cf_def_adjust_pollset,
   Curl_cf_def_data_pending,
diff --git a/lib/socks.c b/lib/socks.c
index 27c3c714f5..8c675e7bbe 100644
--- a/lib/socks.c
+++ b/lib/socks.c
@@ -1289,14 +1289,6 @@ static CURLcode socks_cf_adjust_pollset(struct Curl_cfilter *cf,
   return result;
 }
 
-static void socks_proxy_cf_close(struct Curl_cfilter *cf,
-                                 struct Curl_easy *data)
-{
-  cf->connected = FALSE;
-  if(cf->next)
-    cf->next->cft->do_close(cf->next, data);
-}
-
 static void socks_proxy_cf_destroy(struct Curl_cfilter *cf,
                                    struct Curl_easy *data)
 {
@@ -1339,7 +1331,6 @@ struct Curl_cftype Curl_cft_socks_proxy = {
   0,
   socks_proxy_cf_destroy,
   socks_proxy_cf_connect,
-  socks_proxy_cf_close,
   Curl_cf_def_shutdown,
   socks_cf_adjust_pollset,
   Curl_cf_def_data_pending,
diff --git a/lib/vquic/curl_ngtcp2.c b/lib/vquic/curl_ngtcp2.c
index deb21e882d..796a5b782a 100644
--- a/lib/vquic/curl_ngtcp2.c
+++ b/lib/vquic/curl_ngtcp2.c
@@ -2389,26 +2389,19 @@ static void cf_ngtcp2_conn_close(struct Curl_cfilter *cf,
   cf_ngtcp2_shutdown(cf, data, &done);
 }
 
-static void cf_ngtcp2_close(struct Curl_cfilter *cf, struct Curl_easy *data)
-{
-  struct cf_ngtcp2_ctx *ctx = cf->ctx;
-  struct cf_call_data save;
-
-  CF_DATA_SAVE(save, cf, data);
-  if(ctx && ctx->qconn) {
-    cf_ngtcp2_conn_close(cf, data);
-    cf_ngtcp2_ctx_close(ctx);
-    CURL_TRC_CF(data, cf, "close");
-  }
-  cf->connected = FALSE;
-  CF_DATA_RESTORE(cf, save);
-}
-
 static void cf_ngtcp2_destroy(struct Curl_cfilter *cf, struct Curl_easy *data)
 {
+  struct cf_ngtcp2_ctx *ctx = cf->ctx;
+
   CURL_TRC_CF(data, cf, "destroy");
-  if(cf->ctx) {
-    cf_ngtcp2_close(cf, data);
+  if(ctx) {
+    if(ctx->qconn) {
+      struct cf_call_data save;
+      CF_DATA_SAVE(save, cf, data);
+      cf_ngtcp2_conn_close(cf, data);
+      cf_ngtcp2_ctx_close(ctx);
+      CF_DATA_RESTORE(cf, save);
+    }
     cf_ngtcp2_ctx_free(cf->ctx);
     cf->ctx = NULL;
   }
@@ -3087,7 +3080,6 @@ struct Curl_cftype Curl_cft_http3 = {
   0,
   cf_ngtcp2_destroy,
   cf_ngtcp2_connect,
-  cf_ngtcp2_close,
   cf_ngtcp2_shutdown,
   cf_ngtcp2_adjust_pollset,
   Curl_cf_def_data_pending,
diff --git a/lib/vquic/curl_quiche.c b/lib/vquic/curl_quiche.c
index 08b02fec78..04b4f7d6db 100644
--- a/lib/vquic/curl_quiche.c
+++ b/lib/vquic/curl_quiche.c
@@ -1499,16 +1499,6 @@ out:
   return result;
 }
 
-static void cf_quiche_close(struct Curl_cfilter *cf, struct Curl_easy *data)
-{
-  if(cf->ctx) {
-    bool done;
-    (void)cf_quiche_shutdown(cf, data, &done);
-    cf_quiche_ctx_close(cf->ctx);
-    cf->connected = FALSE;
-  }
-}
-
 static void cf_quiche_destroy(struct Curl_cfilter *cf, struct Curl_easy *data)
 {
   (void)data;
@@ -1626,7 +1616,6 @@ struct Curl_cftype Curl_cft_http3 = {
   0,
   cf_quiche_destroy,
   cf_quiche_connect,
-  cf_quiche_close,
   cf_quiche_shutdown,
   cf_quiche_adjust_pollset,
   Curl_cf_def_data_pending,
diff --git a/lib/vtls/vtls.c b/lib/vtls/vtls.c
index c147a2ef19..4c456a7fcb 100644
--- a/lib/vtls/vtls.c
+++ b/lib/vtls/vtls.c
@@ -978,18 +978,6 @@ static void ssl_cf_destroy(struct Curl_cfilter *cf, struct Curl_easy *data)
   cf->ctx = NULL;
 }
 
-static void ssl_cf_close(struct Curl_cfilter *cf,
-                         struct Curl_easy *data)
-{
-  struct cf_call_data save;
-
-  CF_DATA_SAVE(save, cf, data);
-  cf_close(cf, data);
-  if(cf->next)
-    cf->next->cft->do_close(cf->next, data);
-  CF_DATA_RESTORE(cf, save);
-}
-
 static CURLcode ssl_cf_connect(struct Curl_cfilter *cf,
                                struct Curl_easy *data,
                                bool *done)
@@ -1351,7 +1339,6 @@ struct Curl_cftype Curl_cft_ssl = {
   CURL_LOG_LVL_NONE,
   ssl_cf_destroy,
   ssl_cf_connect,
-  ssl_cf_close,
   ssl_cf_shutdown,
   ssl_cf_adjust_pollset,
   ssl_cf_data_pending,
@@ -1371,7 +1358,6 @@ struct Curl_cftype Curl_cft_ssl_proxy = {
   CURL_LOG_LVL_NONE,
   ssl_cf_destroy,
   ssl_cf_connect,
-  ssl_cf_close,
   ssl_cf_shutdown,
   ssl_cf_adjust_pollset,
   ssl_cf_data_pending,
diff --git a/tests/unit/unit2600.c b/tests/unit/unit2600.c
index a28028c52b..96683052da 100644
--- a/tests/unit/unit2600.c
+++ b/tests/unit/unit2600.c
@@ -177,7 +177,6 @@ static CURLcode cf_test_create(struct Curl_cfilter **pcf,
     CURL_LOG_LVL_NONE,
     cf_test_destroy,
     cf_test_connect,
-    cf_def_close,
     Curl_cf_def_shutdown,
     cf_test_adjust_pollset,
     Curl_cf_def_data_pending,