That is according to player-turned-pundit Phil Thompson.
Mourinho has publicly ripped into Manchester United defender Shaw in recent weeks.
The England international has struggled to get into the team at left-back with Daley Blind, Ashley Young and Matteo Darmian ahead of him in the pecking order.
He won a penalty as United drew 1-1 with Everton on Tuesday, but Mourinho still criticised him at the final whistle.
Phil Thompson believes Jose Mourinho will lose the Manchester United dressing room
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Fri, April 7, 2017
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The Red Devils travel to Sunderland on Sunday (1.30pm) aiming to close the gap on the top four.
And Thompson reckons Mourinho could lose the United dressing room if he continues to single out Shaw.
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"Is Luke Shaw the Ruben Loftus-Cheek of Man Utd?" he told Sky Sports.
"Young player, builds him up, plays him, drags him off at half-time or subs him early, then picks on him and says he's not learning the game. Then he'll leave him out, bring him back in.
Luke Shaw faces an uncertain future at Manchester United
"Why is it always the young players? That's what gets me so mad. Pogba, I know he's a young man but they paid £90m for him, he has had a difficult time but he doesn't get [the criticism].
"Ibrahimovic has had certain times in the season where he doesn't score goals, he would never dare [criticise him]. Rooney has not even featured, we don't even see him anymore, yet there's never any criticism.
"I think you're on your way to losing your players. Maybe a little way, but don't forget those players are close-knit in the dressing room, and they'll be talking about the criticism of younger players.
"The older ones feel protective of the younger players, and they won't be happy, and it happened at Chelsea, the older ones won't be happy with that as well."