diff --git a/swift/obj/diskfile.py b/swift/obj/diskfile.py
index 2ae3dd654b..089a529f54 100644
--- a/swift/obj/diskfile.py
+++ b/swift/obj/diskfile.py
@@ -274,14 +274,18 @@ class DiskFile(object):
             length = stop - start
         else:
             length = None
-        for chunk in self:
-            if length is not None:
-                length -= len(chunk)
-                if length < 0:
-                    # Chop off the extra:
-                    yield chunk[:length]
-                    break
-            yield chunk
+        try:
+            for chunk in self:
+                if length is not None:
+                    length -= len(chunk)
+                    if length < 0:
+                        # Chop off the extra:
+                        yield chunk[:length]
+                        break
+                yield chunk
+        finally:
+            if not self.suppress_file_closing:
+                self.close()
 
     def app_iter_ranges(self, ranges, content_type, boundary, size):
         """Returns an iterator over the data file for a set of ranges"""
diff --git a/test/unit/obj/test_diskfile.py b/test/unit/obj/test_diskfile.py
index 00b611a4c4..b10360aa53 100644
--- a/test/unit/obj/test_diskfile.py
+++ b/test/unit/obj/test_diskfile.py
@@ -71,6 +71,12 @@ class TestDiskFile(unittest.TestCase):
                                     FakeLogger(), keep_data_fp=True)
         self.assertEqual(''.join(df.app_iter_range(5, None)), '67890')
 
+    def test_disk_file_app_iter_partial_closes(self):
+        df = self._create_test_file('1234567890')
+        it = df.app_iter_range(0, 5)
+        self.assertEqual(''.join(it), '12345')
+        self.assertEqual(df.fp, None)
+
     def test_disk_file_app_iter_ranges(self):
         df = self._create_test_file('012345678911234567892123456789')
         it = df.app_iter_ranges([(0, 10), (10, 20), (20, 30)], 'plain/text',