One Media server, multiple NBU domains?

Sorry if it's been asked before, but can a single Media server be attached to and facilitate backups for more than one Master server simultaneously?  We're trying to ween off of one NBU domain and migrate over to a newer NBU domain that is set up on different hardware and different OS than the current Master server.

Essentially, we want to keep the Media server but change the Master server and not lose any backups (if that's even possible).