diff --git a/Lib/test/test_zipfile.py b/Lib/test/test_zipfile.py
index 01750c1..40033f2 100644
--- a/Lib/test/test_zipfile.py
+++ b/Lib/test/test_zipfile.py
@@ -1456,11 +1456,12 @@
         # multiple open() calls can be made without interfering with each other.
         self.make_test_archive(TESTFN2)
         with zipfile.ZipFile(TESTFN2, mode="r") as zipf:
-            with zipf.open('ones') as zopen1, zipf.open('twos') as zopen2:
+            with zipf.open('ones') as zopen1:
                 data1 = zopen1.read(500)
-                data2 = zopen2.read(500)
-                data1 += zopen1.read()
-                data2 += zopen2.read()
+                with zipf.open('twos') as zopen2:
+                    data2 = zopen2.read(500)
+                    data1 += zopen1.read()
+                    data2 += zopen2.read()
             self.assertEqual(data1, self.data1)
             self.assertEqual(data2, self.data2)