diff --git a/stdlib/asyncio/base_events.pyi b/stdlib/asyncio/base_events.pyi
index fd765fdb0614..9924f728f6ea 100644
--- a/stdlib/asyncio/base_events.pyi
+++ b/stdlib/asyncio/base_events.pyi
@@ -263,7 +263,7 @@ class BaseEventLoop(AbstractEventLoop):
             server_hostname: str | None = None,
             ssl_handshake_timeout: float | None = None,
             ssl_shutdown_timeout: float | None = None,
-        ) -> Transport: ...
+        ) -> Transport | None: ...
         async def connect_accepted_socket(
             self,
             protocol_factory: Callable[[], _ProtocolT],
@@ -317,7 +317,7 @@ class BaseEventLoop(AbstractEventLoop):
             server_side: bool = False,
             server_hostname: str | None = None,
             ssl_handshake_timeout: float | None = None,
-        ) -> Transport: ...
+        ) -> Transport | None: ...
         async def connect_accepted_socket(
             self,
             protocol_factory: Callable[[], _ProtocolT],
diff --git a/stdlib/asyncio/events.pyi b/stdlib/asyncio/events.pyi
index 11112bb2e87d..2054f6e522a1 100644
--- a/stdlib/asyncio/events.pyi
+++ b/stdlib/asyncio/events.pyi
@@ -358,7 +358,7 @@ class AbstractEventLoop:
             server_hostname: str | None = None,
             ssl_handshake_timeout: float | None = None,
             ssl_shutdown_timeout: float | None = None,
-        ) -> Transport: ...
+        ) -> Transport | None: ...
         async def create_unix_server(
             self,
             protocol_factory: _ProtocolFactory,
@@ -418,7 +418,7 @@ class AbstractEventLoop:
             server_side: bool = False,
             server_hostname: str | None = None,
             ssl_handshake_timeout: float | None = None,
-        ) -> Transport: ...
+        ) -> Transport | None: ...
         async def create_unix_server(
             self,
             protocol_factory: _ProtocolFactory,