If you have just a few files to copy - it may be quicker to download PuTTY / PSCP on the NT box.
PSCP is essentially a Windows version of the 'scp' command in *nix.
One you have PSCP downloaded, just go to a DOS prompt & use the command:
pscp file-to-copy.txt firstname.lastname@example.org
You will be asked for the password for the unix machine's folder you are trying to copy to & you're done! ( of course, you must have permission / privilege to write files in that folder )
FYI - I believe you must be at the DOS prompt in the folder where PSCP resides...