However, the Red Devils face competition for the Spurs star.
There's a slim chance Mourinho will actually let Shaw leave after backing him to have a big career at Old Trafford, but if he sees an opportunity, he could try and quicken a deal for Rose, especially after a hard transfer window. It was earlier reported that Tottenham Hotspur defender Danny Rose, who is also on the sidelines with an injury, would replace Shaw at Old Trafford.
"Luke Shaw is going to be one of the best left-backs in the world".
Shaw is now sidelined with a knee injury, but Mourinho said earlier this summer that he hopes he will return to action in September. "Manchester United love him and Luke Shaw loves Manchester United", Barnett told the International Business Times.
However, Shaw's representative Jonathan Barnett stressed that his client also loves United and backed the England worldwide to be one of the best left-backs in the world.
He was criticised by Mourinho on a number of occasions last season and has one year remaining on his contract since moving from Southampton in 2014. "So I would say Luke September, Young October, Marcos December, even January, but it's good to have them", Mourinho said in July.