What is the process of transferring FME Desktop licenses (floating and single fixed) to a different licenses server within one organization?

The question is about , the process of transferring FME Desktop licenses from one department to an other in the same organization with two different license servers. Do we need to give the license that are being transferred back to Safe again and ask a new licenses on the same account? Are there differences between a floating an single fixed in this operation? Are there other things to take into account in this operation? Thanks in advance.