diff --git a/Lib/test/test_fcntl.py b/Lib/test/test_fcntl.py
index 1fa0aa2..a64a5e1 100755
--- a/Lib/test/test_fcntl.py
+++ b/Lib/test/test_fcntl.py
@@ -4,33 +4,43 @@
 """
 import struct
 import fcntl
-import FCNTL
 import os, sys
 from test_support import verbose, TESTFN
 
 filename = TESTFN
 
-# the example from the library docs
-f = open(filename, 'w')
-rv = fcntl.fcntl(f.fileno(), FCNTL.F_SETFL, os.O_NONBLOCK)
-if verbose:
-    print 'Status from fnctl with O_NONBLOCK: ', rv
-
 if sys.platform in ('netbsd1', 'Darwin1.2', 'darwin1',
                     'freebsd2', 'freebsd3', 'freebsd4', 'freebsd5',
                     'bsdos2', 'bsdos3', 'bsdos4',
                     'openbsd', 'openbsd2'):
-    lockdata = struct.pack('lxxxxlxxxxlhh', 0, 0, 0, FCNTL.F_WRLCK, 0)
+    lockdata = struct.pack('lxxxxlxxxxlhh', 0, 0, 0, fcntl.F_WRLCK, 0)
 elif sys.platform in ['aix3', 'aix4', 'hp-uxB', 'unixware7']:
-    lockdata = struct.pack('hhlllii', FCNTL.F_WRLCK, 0, 0, 0, 0, 0, 0)
+    lockdata = struct.pack('hhlllii', fcntl.F_WRLCK, 0, 0, 0, 0, 0, 0)
 else:
-    lockdata = struct.pack('hhllhh', FCNTL.F_WRLCK, 0, 0, 0, 0, 0)
+    lockdata = struct.pack('hhllhh', fcntl.F_WRLCK, 0, 0, 0, 0, 0)
 if verbose:
     print 'struct.pack: ', `lockdata`
 
-rv = fcntl.fcntl(f.fileno(), FCNTL.F_SETLKW, lockdata)
+
+# the example from the library docs
+f = open(filename, 'w')
+rv = fcntl.fcntl(f.fileno(), fcntl.F_SETFL, os.O_NONBLOCK)
+if verbose:
+    print 'Status from fnctl with O_NONBLOCK: ', rv
+
+rv = fcntl.fcntl(f.fileno(), fcntl.F_SETLKW, lockdata)
 if verbose:
     print 'String from fcntl with F_SETLKW: ', `rv`
 
 f.close()
 os.unlink(filename)
+
+
+# Again, but pass the file rather than numeric descriptor:
+f = open(filename, 'w')
+rv = fcntl.fcntl(f, fcntl.F_SETFL, os.O_NONBLOCK)
+
+rv = fcntl.fcntl(f, fcntl.F_SETLKW, lockdata)
+
+f.close()
+os.unlink(filename)