diff --git a/swift/common/request_helpers.py b/swift/common/request_helpers.py
index f12f876..b4d97e0 100644
--- a/swift/common/request_helpers.py
+++ b/swift/common/request_helpers.py
@@ -496,5 +496,6 @@ class SegmentedIterable(object):
         Called when the client disconnect. Ensure that the connection to the
         backend server is closed.
         """
+        close_if_possible(self.app_iter)
         if self.current_resp:
             close_if_possible(self.current_resp.app_iter)