diff -r 7757e98a9f3b Lib/test/test_gzip.py
--- a/Lib/test/test_gzip.py	Tue Mar 17 06:56:11 2015 +0200
+++ b/Lib/test/test_gzip.py	Tue Mar 17 16:44:51 2015 +0100
@@ -130,6 +130,21 @@
                 if not ztxt: break
         self.assertEqual(contents, b'a'*201)
 
+    def test_memoryview_write(self):
+        # Test that write accepts a memoryview instead of bytes
+        # and that the data written equals memoryview.tobytes()
+        m = memoryview(data1 * 50)
+        with gzip.GzipFile(self.filename, 'wb') as f:
+            f.write(m)
+        with gzip.GzipFile(self.filename, 'rb') as f:
+            self.assertEqual(f.read(), data1 * 50)
+        m = memoryview(bytes(range(256)))
+        n = m.cast('B', shape=[8,8,4])
+        with gzip.GzipFile(self.filename, 'wb') as f:
+            f.write(n)
+        with gzip.GzipFile(self.filename, 'rb') as f:
+            self.assertEqual(f.read(), m.tobytes())
+            
     def test_exclusive_write(self):
         with gzip.GzipFile(self.filename, 'xb') as f:
             f.write(data1 * 50)