Mourinho is a candidate for McClaren's job, but unofficial spokesman Eladio Parames said the Portuguese coach favours a return to club management.
Parames said: "Jose has always supported the English national team manager and would not do anything to undermine him. It's a hypothetical situation. Jose prefers to stay in club management, although it depends what offers come along. He is in no rush because he is doing all the things he hasn't had time to do before with his family.
"It's not possible to talk about where he will go until concrete offers are received and until then it is all hypothetical."