diff --git a/tests/http/test_07_upload.py b/tests/http/test_07_upload.py
index 8b33325d34..d99c0d8679 100644
--- a/tests/http/test_07_upload.py
+++ b/tests/http/test_07_upload.py
@@ -274,8 +274,9 @@ class TestUpload:
             f'/curltest/tweak?status=400&delay=5ms&chunks=1&body_error=reset&id=[0-{count-1}]'
         r = curl.http_upload(urls=[url], data=f'@{fdata}', alpn_proto=proto,
                              extra_args=['--parallel'])
-        exp_exit = 92 if proto == 'h2' else 95
-        r.check_stats(count=count, exitcode=exp_exit)
+        # depending on timing and protocol, we might get CURLE_PARTIAL_FILE or
+        # CURLE_HTTP3 or CURLE_HTTP2_STREAM
+        r.check_stats(count=count, exitcode=[18, 92, 95])
 
     # PUT 100k
     @pytest.mark.parametrize("proto", ['http/1.1', 'h2', 'h3'])
diff --git a/tests/http/testenv/curl.py b/tests/http/testenv/curl.py
index ee224d9a67..cb253c077d 100644
--- a/tests/http/testenv/curl.py
+++ b/tests/http/testenv/curl.py
@@ -386,11 +386,13 @@ class ExecResult:
                 f'were made\n{self.dump_logs()}'
 
     def check_stats(self, count: int, http_status: Optional[int] = None,
-                    exitcode: Optional[int] = None,
+                    exitcode: Optional[Union[int, List[int]]] = None,
                     remote_port: Optional[int] = None,
                     remote_ip: Optional[str] = None):
         if exitcode is None:
             self.check_exit_code(0)
+        elif isinstance(exitcode, int):
+            exitcode = [exitcode]
         assert len(self.stats) == count, \
             f'stats count: expected {count}, got {len(self.stats)}\n{self.dump_logs()}'
         if http_status is not None:
@@ -403,7 +405,7 @@ class ExecResult:
         if exitcode is not None:
             for idx, x in enumerate(self.stats):
                 if 'exitcode' in x:
-                    assert x['exitcode'] == exitcode, \
+                    assert x['exitcode'] in exitcode, \
                         f'status #{idx} exitcode: expected {exitcode}, '\
                         f'got {x["exitcode"]}\n{self.dump_stat(x)}'
         if remote_port is not None: