diff --git a/src/agents/realtime/openai_realtime.py b/src/agents/realtime/openai_realtime.py
index ce28114c9..8612c36c8 100644
--- a/src/agents/realtime/openai_realtime.py
+++ b/src/agents/realtime/openai_realtime.py
@@ -516,6 +516,10 @@ async def close(self) -> None:
             self._websocket = None
         if self._websocket_task:
             self._websocket_task.cancel()
+            try:
+                await self._websocket_task
+            except asyncio.CancelledError:
+                pass
             self._websocket_task = None
 
     async def _cancel_response(self) -> None: