The former England star has been sidelined since damaging his hamstring towards the end of last season.
He missed United’s Europa League victory over Ajax in Stockholm and all of pre-season.
But he made his long-awaited comeback in a reserve team outing against Swansea on Monday night alongside Luke Shaw.
And, according to The Sun, he’ll remain at Old Trafford and is viewed as an experienced back-up option by Jose Mourinho.
Its suggested that he could even stay another year if he sticks with the club this term.
However, The Sun say rival Premier League clubs are vying for his signature and could offer him regular first-team football.
Everton watched him in action on Monday.
Watford were also casting an eye over the 32-year-old.
“Man Utd star Ashley Young is wanted by Everton and Watford”
Speaking after his run out against the Swans, Young said: “It’s great to be back. As a player, you want to be back on the pitch and it was good to get minutes under my belt.
“I’m feeling good, I’m feeling fit. I could’ve played longer, but I was brought off.
“I’ve worked hard since I had the operation done 13 weeks ago, so I’m happy to be back out there.
“I’ve been training with the team for 10 days or so now, so, whenever the manager calls on me, I’m ready to go.
“For us, it was a bit like a pre-season game. We’re obviously trying to get the win, but we wanted to get the fitness levels up too, and we’ll just take it from here.”