Network Printing Issue

Hello,

I have an HP designjet installed and shared on an XP SP2 machine which acts as the print server. Another client machine XP SP2 can see the printer and connect to it but when I print:

1. Job shows up in the queue and status says “printed” (I made it so that past jobs stay listed in the queue).
2. When I go to the printer, it’s not there. I have to log on as a user of the machine and then it starts to print.

How to I make it so that the print server can be logged off but still accept and spool print jobs?

Thanks in advance!