Real Madrid president Florentino Perez is said to be keen on re-appointing Mourinho three years after the Portuguese was axed at the Bernabeu.
As for United, they travel to Tottenham for today's 4pm kick off hoping to close the gap on Manchester City in the race for fourth place.
Spurs themselves are locked in a title race with Leicester, who head to Sunderland for the 1.30pm start this afternoon.
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Jose Mourinho - 5 things you need to know
Discussing the title race, three-time English champion Mourinho told Sky Sports Leicester and Spurs deserve their place at the top.
"Sunday can be a big day. If Leicester win and Tottenham do not win, I think it is Leicester's title," said Mourinho.
"The other way, if Big Sam (Allardyce's Sunderland) beats Leicester and Tottenham beat Manchester United, I think we are arguing to have a big fight.
"I think it is a fight of two teams."
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Anthony Joshua (right) beat Charles Martin within two rounds in London
As for Joshua, the super-heavyweight Olympic gold medallist of 2012 insists he is grounded after winning his first world heavyweight title with a 16th straight career stoppage.
“I ain’t gonna get too carried away,” he said. “Every fight gets better and better.
“It’s not just about power. It’s about speed and precision.
"[Martin] was big and brave enough to bring his title to the UK. Respect to him.”