Printer - Can I connect USB to computer and wirelessly to Others

Not sure if this is the correct sub-forum.
I just installed a newrouter and set up my new network. My Windows 7 desktop is connected to the routervia ethernet.

My Windows 7 desktop isconnected to the printer via USB. So, the drivers are already on the desktop computer.

When I was using my oldrouter, the desktop, laptops, phones were connected to the printer wirelessly, but I have nowchanged the SSID and Network security password.

Can I keep it that way?- USB connect the desktop to the printer, but have other devices connect to theprinter wirelessly?

How do I do that? ShouldI uninstall the network printer? Reinstall the drivers?

Thanks, cb

In short:
- Connect printer to the new Wireless Network
- check if other computers will see and print to it.
- if not, adjust the IP address of printer (assign static or DHCP reservation) to be the same as before if you remember
- test
- if not, remove network printer from PCs and re-add it

I was able to install it both ways. My thought was that if the router goes down, I can still scan and print.
Thanks,cb

I don't think it will work when router is down.