diff --git a/starlette/requests.py b/starlette/requests.py
index 2ee0c29640..b8441963fe 100644
--- a/starlette/requests.py
+++ b/starlette/requests.py
@@ -220,8 +220,6 @@ async def stream(self) -> typing.AsyncGenerator[bytes, None]:
         while True:
             message = await self._receive()
             if message["type"] == "http.request":
-                if not message.get("more_body", False):
-                    self._stream_consumed = True
                 body = message.get("body", b"")
                 if body:
                     yield body