Re-include the older check

Author: lezgomatt

aiohttp/connector.py

@@ -1156,7 +1156,11 @@ def _warn_about_tls_in_tls(
             return
 
         # Support in asyncio was added in Python 3.11 (bpo-44011)
-        asyncio_supports_tls_in_tls = sys.version_info >= (3, 11)
+        asyncio_supports_tls_in_tls = sys.version_info >= (3, 11) or getattr(
+            underlying_transport,
+            "_start_tls_compatible",
+            False,
+        )
 
         if asyncio_supports_tls_in_tls:
             return