diff --git a/Lib/ssl.py b/Lib/ssl.py
index d01484964b6895..a72c190425652f 100644
--- a/Lib/ssl.py
+++ b/Lib/ssl.py
@@ -1017,6 +1017,7 @@ def _create(cls, sock, server_side=False, do_handshake_on_connect=True,
             self.getpeername()
         except OSError as e:
             if e.errno != errno.ENOTCONN:
+                self.close()
                 raise
             connected = False
             blocking = self.getblocking()
@@ -1030,6 +1031,7 @@ def _create(cls, sock, server_side=False, do_handshake_on_connect=True,
             except OSError as e:
                 # EINVAL occurs for recv(1) on non-connected on unix sockets.
                 if e.errno not in (errno.ENOTCONN, errno.EINVAL):
+                    self.close()
                     raise
                 notconn_pre_handshake_data = b''
             self.setblocking(blocking)
diff --git a/Misc/NEWS.d/next/Library/2023-12-19-10-05-45.gh-issue-113280.qIia3M.rst b/Misc/NEWS.d/next/Library/2023-12-19-10-05-45.gh-issue-113280.qIia3M.rst
new file mode 100644
index 00000000000000..f4c9510031ed96
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2023-12-19-10-05-45.gh-issue-113280.qIia3M.rst
@@ -0,0 +1 @@
+Fix :class:`ResourceWarning` in :class:`ssl.SSLSocket` connected detection