diff --git a/src/agents/realtime/session.py b/src/agents/realtime/session.py
index 66dc72be5b..def69cee86 100644
--- a/src/agents/realtime/session.py
+++ b/src/agents/realtime/session.py
@@ -299,7 +299,8 @@ async def close(self) -> None:
         if cleanup_task is not None and (
             current_task in self._guardrail_tasks or current_task in self._tool_call_tasks
         ):
-            # Cleanup is already waiting for this tracked task, so waiting here would form a cycle.
+            self._closing = True
+            self._closed = True
             raise asyncio.CancelledError
 
         if cleanup_task is None: