REMOTE DESKTOP SESSION PRINTER

I have a customer who connects from an XP machine to a windows 2000 server utilising Remote Desktop Connection. each time the log off and reconnect their local printer is given a new session number ie FX Docuprint 204a/session14. The application they print from is very specific and if you set it to print to this printer and then log off a new session number is given to the printer which prevents the application they are using from finding the printer. Is there a way of makeing the printer session consistant so that it never changes? Thanks for you help.