diff --git a/starlette/middleware/base.py b/starlette/middleware/base.py
index 6c6a43b16..d0089c0c9 100644
--- a/starlette/middleware/base.py
+++ b/starlette/middleware/base.py
@@ -3,7 +3,7 @@
 
 from starlette.requests import Request
 from starlette.responses import Response, StreamingResponse
-from starlette.types import ASGIApp, Receive, Scope, Send
+from starlette.types import ASGIApp, Message, Receive, Scope, Send
 
 RequestResponseEndpoint = typing.Callable[[Request], typing.Awaitable[Response]]
 DispatchFunction = typing.Callable[
@@ -27,7 +27,7 @@ async def __call__(self, scope: Scope, receive: Receive, send: Send) -> None:
 
     async def call_next(self, request: Request) -> Response:
         loop = asyncio.get_event_loop()
-        queue = asyncio.Queue()  # type: asyncio.Queue
+        queue: "asyncio.Queue[typing.Optional[Message]]" = asyncio.Queue(maxsize=1)
 
         scope = request.scope
         receive = request.receive