diff --git a/Lib/test/test_gzip.py b/Lib/test/test_gzip.py
index a5660a9..d42dee6 100644
--- a/Lib/test/test_gzip.py
+++ b/Lib/test/test_gzip.py
@@ -18,7 +18,7 @@
 
 f = gzip.GzipFile(filename, 'wb') ; f.write(data1 * 50) ; f.close()
 
-f = gzip.GzipFile(filename, 'rb') ; d = f.read() ; f.close()
+f = gzip.GzipFile(filename, 'r') ; d = f.read() ; f.close()
 verify(d == data1*50)
 
 # Append to the previous file
@@ -75,4 +75,8 @@
     f.write('GZ\n')
 f.close()
 
+f = gzip.GzipFile(filename, 'r')
+verify(f.myfileobj.mode == 'rb')
+f.close()
+
 os.unlink(filename)