diff --git a/litellm/llms/custom_httpx/http_handler.py b/litellm/llms/custom_httpx/http_handler.py
index 3a67d5127b78..fef29a1b4263 100644
--- a/litellm/llms/custom_httpx/http_handler.py
+++ b/litellm/llms/custom_httpx/http_handler.py
@@ -657,7 +657,7 @@ def _create_aiohttp_transport(
         )
         return LiteLLMAiohttpTransport(
             client=lambda: ClientSession(
-                connector=TCPConnector(**connector_kwargs),
+                connector=TCPConnector(limit=0, **connector_kwargs),
                 trust_env=trust_env,
             ),
         )
diff --git a/tests/test_litellm/llms/custom_httpx/test_http_handler.py b/tests/test_litellm/llms/custom_httpx/test_http_handler.py
index 0e31699fd831..3c7d3b09fa57 100644
--- a/tests/test_litellm/llms/custom_httpx/test_http_handler.py
+++ b/tests/test_litellm/llms/custom_httpx/test_http_handler.py
@@ -79,9 +79,12 @@ async def test_ssl_context_transport():
         # Get the client session and verify SSL context is passed through
         client_session = transport._get_valid_client_session()
         assert isinstance(client_session, ClientSession)
-        assert isinstance(client_session.connector, TCPConnector)
+        connector = client_session.connector
+        assert isinstance(connector, TCPConnector)
         # Verify the connector has SSL context set by checking if it's using SSL
-        assert client_session.connector._ssl is not None
+        assert connector._ssl is not None
+        # Verify connector limit is 0 (no limit)
+        assert connector.limit == 0
 
 
 @pytest.mark.asyncio