diff --git a/.github/workflows/linux.yml b/.github/workflows/linux.yml
index b033340842..d70bd1c608 100644
--- a/.github/workflows/linux.yml
+++ b/.github/workflows/linux.yml
@@ -48,7 +48,7 @@ env:
   msh3-version: v0.6.0
   openssl3-version: openssl-3.1.3
   quictls-version: 3.1.4+quic
-  rustls-version: v0.12.0
+  rustls-version: v0.13.0
 
 jobs:
   autotools:
diff --git a/docs/RUSTLS.md b/docs/RUSTLS.md
index 3515e16662..6c270bfa4b 100644
--- a/docs/RUSTLS.md
+++ b/docs/RUSTLS.md
@@ -3,7 +3,7 @@
 [Rustls is a TLS backend written in Rust](https://docs.rs/rustls/). Curl can
 be built to use it as an alternative to OpenSSL or other TLS backends. We use
 the [rustls-ffi C bindings](https://github.com/rustls/rustls-ffi/). This
-version of curl depends on version v0.12.0 of rustls-ffi.
+version of curl depends on version v0.13.0 of rustls-ffi.
 
 # Building with rustls
 
@@ -11,8 +11,7 @@ First, [install Rust](https://rustup.rs/).
 
 Next, check out, build, and install the appropriate version of rustls-ffi:
 
-    % cargo install cbindgen
-    % git clone https://github.com/rustls/rustls-ffi -b v0.12.0
+    % git clone https://github.com/rustls/rustls-ffi -b v0.13.0
     % cd rustls-ffi
     % make
     % make DESTDIR=${HOME}/rustls-ffi-built/ install