diff --git a/Misc/NEWS.d/next/Library/2025-05-26-01-48-09.gh-issue-117208.mmFGDb.rst b/Misc/NEWS.d/next/Library/2025-05-26-01-48-09.gh-issue-117208.mmFGDb.rst
new file mode 100644
index 00000000000000..029d3ae7c44ec9
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2025-05-26-01-48-09.gh-issue-117208.mmFGDb.rst
@@ -0,0 +1,3 @@
+Fix error handling for non-blocking ``connect`` calls which meant
+:meth:`socket.socket.connect` was sometimes raising a :exc:`BlockingIOError`
+instead of waiting when a connection could not be immediately completed.
diff --git a/Modules/socketmodule.c b/Modules/socketmodule.c
index 92c9aa8b510dca..6cd00613ac8ea9 100644
--- a/Modules/socketmodule.c
+++ b/Modules/socketmodule.c
@@ -3671,7 +3671,8 @@ internal_connect(PySocketSockObject *s, struct sockaddr *addr, int addrlen,
         wait_connect = (s->sock_timeout != 0 && IS_SELECTABLE(s));
     }
     else {
-        wait_connect = (s->sock_timeout > 0 && err == SOCK_INPROGRESS_ERR
+        wait_connect = (s->sock_timeout > 0
+                        && (err == EAGAIN || err == SOCK_INPROGRESS_ERR)
                         && IS_SELECTABLE(s));
     }