They report that a source close to United said: 'It looks like Luke will be allowed to leave in January on loan if the right offer comes in.
'He has been on the bench a few times recently but his injury problems are a concern. Marcos Rojo is back soon and Jose is considering his options.'
Is is no secret that Mourinho and Shaw have had a turbulent relationship since the player's £30m move from Southampton in 2014, which along with numerous injuries, has seen him move down the pecking order at Old Trafford.
The Portuguese tactician tends to opt for Daley Blind, Matteo Darmian or Ashley Young in the left-back position.
The source continued: 'A couple of Premier League clubs asked about him in the summer, but he was still injured. He has been working hard in training.
'It has been difficult for him as he is trying his hardest but has had no luck over the past couple of years, at all.'
With the World Cup just around the corner, Shaw is desperate for game time and therefore likely to jump at the opportunity to leave if the right team puts in a bid.