diff --git a/starlette/testclient.py b/starlette/testclient.py
index fcf392e33..1a2d101a0 100644
--- a/starlette/testclient.py
+++ b/starlette/testclient.py
@@ -784,7 +784,7 @@ async def receive() -> typing.Any:
                 self.task.result()
             return message
 
-        async with self.stream_send:
+        async with self.stream_send, self.stream_receive:
             await self.stream_receive.send({"type": "lifespan.shutdown"})
             message = await receive()
             assert message["type"] in (