diff --git a/Lib/test/test_gzip.py b/Lib/test/test_gzip.py
index 87131d0..2ddebaf 100644
--- a/Lib/test/test_gzip.py
+++ b/Lib/test/test_gzip.py
@@ -51,6 +51,28 @@
         f = gzip.GzipFile(self.filename, 'r') ; d = f.read() ; f.close()
         self.assertEqual(d, data1*50)
 
+    def test_io_on_closed_object(self):
+        # Test that I/O operations on closed GzipFile objects raise a
+        # ValueError, just like the corresponding functions on file objects.
+
+        # Write to a file, open it for reading, then close it.
+        self.test_write()
+        f = gzip.GzipFile(self.filename, 'r')
+        f.close()
+        with self.assertRaises(ValueError):
+            f.read(1)
+        with self.assertRaises(ValueError):
+            f.seek(0)
+        with self.assertRaises(ValueError):
+            f.tell()
+        # Open the file for writing, then close it.
+        f = gzip.GzipFile(self.filename, 'w')
+        f.close()
+        with self.assertRaises(ValueError):
+            f.write(b'')
+        with self.assertRaises(ValueError):
+            f.flush()
+
     def test_append(self):
         self.test_write()
         # Append to the previous file