I want to use a Windows & workstation as a print server and allow ANY pc to connect to it without bring prompted

We have 2 networks with two different VLANS. I have a large printer on one network that I want to share with users on the other network. Level 3 switches are not allowed so I want to plug in a Windows 7 workstation to the USB port on the printer and use that as a small print server. The printer will be on network 192.x.x.x and the server will be on network 10.x.x.x  I am hoping to have it configured so that users on 10.x.x.x can easily add the printer I share on the workstation without being prompted. They way I have it set now, users are prompted for a login and password when they connect to the shared printer. The WIndows & workstation/Print server is a member of a workgroup, not a domain. Is there a way for members of the domain on network 10.x.x.x to connect to the shared printer on my small printer server without being prompted for a login??