The left-back has struggled to break into Mourinho’s side, with the United boss often hitting out at Shaw during his reign.
Mourinho has questioned Shaw’s commitment and fitness levels, and it was believed the Englishman could be ready to leave the club.
But, after a renewed effort in training, Mourinho has revealed he is ready to hand the 22-year-old a new deal.
‘Luke is not about changing my mind, it’s just the evolution or no evolution of his potential,’ Mourinho said ahead of United’s game on Sunday.
‘It’s just about that. I know Shaw since he arrived in the Premier League with Southampton and know his potential and quality.
Manchester United 2017/18 Fixtures
Newcastle (A) – Sun Feb 11
Birmingham or Huddersfield (A) – Sat Feb 17 (FA Cup)
Sevilla (A) – Wed Feb 21 (Champions League)
Chelsea (H) – Sun Feb 25
Crystal Palace (A) – Sun Mar 3
Liverpool (H) – Sat Mar 10
Sevilla (H) – Tue Mar 13 (Champions League)
‘Could he come in my direction, the way I like my players to be not just on the pitch but during the training week, and he made a big effort.’
Shaw’s progress at Old Trafford has been stunted by his continued injury woes, including a leg break in 2015.
Several injury set-backs since that leg break has forced Shaw to miss a huge portion of the last three years, but Mourinho is hopeful the defender is finally turning a corner.
He said: ‘He’s been free of minor injuries for a few months which sometimes stops the evolution and I’m really happy.
‘The natural consequence of it is that he will have his contract and he will be a United player for years.’
Shaw has completed 90 minutes in his last five appearances in the Premier League and was restored to the starting eleven that beat Huddersfield last week.