The 23-year-old found first-team chances hard to come by last season, making just 15 Premier League appearances, but he has started two of Man United’s three outings so far in 2021-22.
However, the imminent arrival of Cristiano Ronaldo to Old Trafford is expected to knock James further down the pecking order, and Solskjaer has acknowledged that the return of the five-time Ballon d’Or winner could have a knock-on effect on other players’ futures.
“I’m not going to discuss individual players and names,” Solskjaer told reporters when asked about James’s future.
“There have been a couple of enquiries for some of our players and with the signing of Cristiano we may give less playing time to a few. Dan is a Man United player at the moment.”
Everton, Brighton & Hove Albion, Leeds United and Crystal Palace have all been credited with an interest in the Welsh winger, although Man United would only be willing to sanction a loan exit.
The future of Jesse Lingard is also up in the air, with West Ham United rumoured to be lining up a late £15m bid for their former loanee.