diff --git a/Lib/gzip.py b/Lib/gzip.py
index d51b7db..9cab995 100644
--- a/Lib/gzip.py
+++ b/Lib/gzip.py
@@ -5,7 +5,7 @@
 
 # based on Andrew Kuchling's minigzip.py distributed with the zlib module
 
-import struct, sys, time
+import os, struct, sys, time
 import zlib
 import __builtin__
 
@@ -334,6 +334,14 @@
     def flush(self):
         self.fileobj.flush()
 
+    def fileno(self):
+        """Invoke the underlying file object's fileno() method.
+
+        This will raise AttributeError if the underlying file object
+        doesn't support fileno().
+        """
+        return self.fileobj.fileno()
+
     def isatty(self):
         return False
 
diff --git a/Lib/test/test_gzip.py b/Lib/test/test_gzip.py
index bb4ed49..81a4865 100644
--- a/Lib/test/test_gzip.py
+++ b/Lib/test/test_gzip.py
@@ -16,8 +16,16 @@
 /* See http://www.winimage.com/zLibDll for Windows */
 """
 
-f = gzip.GzipFile(filename, 'wb') ; f.write(data1 * 50) ; f.close()
+f = gzip.GzipFile(filename, 'wb') ; f.write(data1 * 50)
 
+# Try flush and fileno.
+f.flush()
+f.fileno()
+if hasattr(os, 'fsync'):
+    os.fsync(f.fileno())
+f.close()
+
+# Try reading.
 f = gzip.GzipFile(filename, 'r') ; d = f.read() ; f.close()
 verify(d == data1*50)