diff --git a/starlette/middleware/base.py b/starlette/middleware/base.py
index 586c9870d..8f2f02ea0 100644
--- a/starlette/middleware/base.py
+++ b/starlette/middleware/base.py
@@ -89,8 +89,6 @@ async def body_stream() -> typing.AsyncGenerator[bytes, None]:
                         body = message.get("body", b"")
                         if body:
                             yield body
-                        if not message.get("more_body", False):
-                            break
 
                 if app_exc is not None:
                     raise app_exc