Wireless to Wired network

I tried looking through the forums and google but everything appears to be for personal networks. I am not that IT savvy but will try to describe my problem as best as I can.

My office desktops are wired to a work network which also allows for printing on the printer hooked up to the same network. However, we are now being charged for each port/internet connection that is active and obviously the department does not want to pay for this. The building also offers free WIFI for internet connection so the department is cutting the ports and giving us USB wifi dongles to plug into the desktops to use the free WIFI but this means I am unable to print on the network printer. The department is leaving some desktops with active internet ports to allow access for printing. However, with every machine being in use, you can imagine how frustrating it would be asking your colleague to move every time you need to print off a graph.

With the technology being what it is, I figured there must be a way to get the following to work. So lets say that Desktop A still has a wired in connection to the network and thus access to printer. Desktop B has had the internet port turned off and is now getting internet access through a wifi USB dongle. Is there a way to plug another USB dongle into Desktop A so that Desktop B can use Desktop A as a sort of a "hub" to get to the network printer?

I realize that my suggested solution is probably not the best or even feasible but with my limited knowledge, this is the best I could come up with. Any and all help is greatly appreciated. Also. this question is for legitimate work usage so please no moral lessons.