diff -r 7e179ee91af0 Lib/gzip.py
--- a/Lib/gzip.py	Mon Mar 23 15:26:49 2015 +0200
+++ b/Lib/gzip.py	Mon Mar 23 16:27:08 2015 +0200
@@ -340,6 +340,8 @@ class GzipFile(io.BufferedIOBase):
             # accept any data that supports the buffer protocol
             data = memoryview(data)
             length = data.nbytes
+            if not data.contiguous:
+                data = bytes(data)
 
         if length > 0:
             self.fileobj.write(self.compress.compress(data))
diff -r 7e179ee91af0 Lib/test/test_gzip.py
--- a/Lib/test/test_gzip.py	Mon Mar 23 15:26:49 2015 +0200
+++ b/Lib/test/test_gzip.py	Mon Mar 23 16:27:08 2015 +0200
@@ -74,6 +74,7 @@ class TestGzip(BaseTest):
         m = memoryview(bytes(range(256)))
         data = m.cast('B', shape=[8,8,4])
         self.write_and_read_back(data)
+        self.write_and_read_back(memoryview(data1 * 50)[::-1])
 
     def test_write_bytearray(self):
         self.write_and_read_back(bytearray(data1 * 50))