Not nearly enough information was supplied for a complete answer. The first question is what your court order provides -- it might have a termination-on-cohabitation clause, or not. It might claim that it is modifiable at all, or not. After you review the terms of the court order, review the information posted at http://willicklawgroup.com/spousal-supportalimony/. If that does not answer your question, consider scheduling a consultation with a family law specialist, in this firm or otherwise.
Answered on Jun 13th, 2015 at 1:27 PM