diff --git a/requirements.txt b/requirements.txt
index a99dc024ae..305bd0186c 100644
--- a/requirements.txt
+++ b/requirements.txt
@@ -7,7 +7,7 @@ h11 @ git+https://github.com/python-hyper/h11.git@master
 # Explicit optionals
 a2wsgi==1.7.0
 wsproto==1.2.0
-websockets==10.4
+websockets==11.0.3
 
 # Packaging
 build==0.10.0
diff --git a/tests/protocols/test_websocket.py b/tests/protocols/test_websocket.py
index 1dd82bbcb4..9210279fe2 100644
--- a/tests/protocols/test_websocket.py
+++ b/tests/protocols/test_websocket.py
@@ -577,7 +577,7 @@ async def test_asgi_return_value(
     unused_tcp_port: int,
 ):
     """
-    The ASGI callable should return 'None'. If it doesn't make sure that
+    The ASGI callable should return 'None'. If it doesn't, make sure that
     the connection is closed with an error condition.
     """
 
@@ -597,9 +597,8 @@ async def connect(url):
         port=unused_tcp_port,
     )
     async with run_server(config):
-        with pytest.raises(websockets.exceptions.ConnectionClosed) as exc_info:
+        with pytest.raises(websockets.exceptions.WebSocketException):
             await connect(f"ws://127.0.0.1:{unused_tcp_port}")
-        assert exc_info.value.code == 1006
 
 
 @pytest.mark.anyio
diff --git a/uvicorn/protocols/websockets/websockets_impl.py b/uvicorn/protocols/websockets/websockets_impl.py
index 04d41bad9c..d7d18e3a82 100644
--- a/uvicorn/protocols/websockets/websockets_impl.py
+++ b/uvicorn/protocols/websockets/websockets_impl.py
@@ -264,7 +264,6 @@ async def run_asgi(self) -> None:
             elif result is not None:
                 msg = "ASGI callable should return None, but returned '%s'."
                 self.logger.error(msg, result)
-                await self.handshake_completed_event.wait()
                 self.transport.close()
 
     async def asgi_send(self, message: "ASGISendEvent") -> None: