Shaw has been sidelined for the majority of the campaign having suffered a double fracture of his right leg in September of last year in a Champions League clash against PSV Eindhoven.
There had been hopes that the 20-year-old would feature for Man United again this season but the club are reluctant to rush him back to action.
Shaw has been training with United’s U21 side since last Tuesday having undergone a minor operation to remove a screw three weeks ago.
The player, who is still not involved in contact sessions, will not play any part in United’s final two fixtures of the campaign.
It will end Shaw’s slim hopes of making Roy Hodgson’s England squad for the European Championships.
Having Shaw back on the pitch would have been a huge boost to everyone involved with United given the team’s troubles this term but the club are right in not gambling with his fitness. He is targeting a pre-season return in early June and it will be good to see him hit the ground running next time around.