Record believe the midfielder will once again play tomorrow night against Braga with no transfer imminent.
United are now also in the market for a striker following the news Marcus Rashford is set to miss at least six weeks of action with a double stress fracture of his back.
Solskjaer confirmed the club are looking at bringing in new players after the 2-0 defeat to Liverpool yesterday.
He said: “We've had many, many injuries to big players this season. Marcus now, Anthony's been out for months, Paul's been out for more than half the season and Scott's been out for months.
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Man Utd transfer news: Ole Gunnar Solskjaer is keen to add players to his squad (Image: GETTY)
“It's just an unfortunate situation that we're in. It might be, because the window is open, we might look at some short-term deals as well that could take us through to the summer.
”We're looking at numbers as well because we have had many injuries so if the right one's there and it will fit for us, we can buy.
“If there are loans available, it might be possible. But I've got players here as well that are champing at the bit.”
United return to action on Wednesday in the Premier League when they take on Burnley at Old Trafford (8.15pm).
The Red Devils are currently five points behind Chelsea who occupy the final Champions League qualifying place in fourth.