Running Automated SFTP processes

I currently have a customer that we connect to their FTP and copy over files, this process is done using Windows Scheduler. How this works is Win Scheduler runs a batch file that looks at a script, in this script a FTP connection is made with credentials to the client server and files are copied from our server to theirs. This would work find but now the client wants us to use port 22 instead of 21. Do you know of a FTP client that will support an SSH connection and run an automated script to move theses files?

Thanks