The England left-back, 30, who spent the second half of last season on loan at Newcastle, has been training away from the first team although he is coming back from a minor injury.
Rose, who has only a year left on his £65,000-a-week contract, is likely to leave for a modest fee and favours a move abroad.
He is featured on Spurs’ new fly-on-the-wall Amazon documentary having a heated chat with Mourinho back in January over his lack of game time.
And in fact he was sent to the Toon after he branded team-mates “s***” and accused Mourinho of picking his favourites.
Rose’s days at Tottenham were numbered when he was axed again for a 0-0 draw at Watford on January 18.
He confronted Mourinho the following morning at the club’s Enfield training HQ.
Rose asked the ex-Chelsea boss “what the problem is?” and complained he was being unfairly treated – which Mourinho denied.
The defender later said: “If I have a problem or am not happy about something, I have to be able to have an honest debate or conversation with somebody.
“He is a very straight talker, as am I.”
And he admitted: “I can be a bit of a handful. There have been times I’ve said a few things in anger when we’ve lost.
“But it’s just how I’m programmed. I want to win.”