United have been in fine fettle since appointing Solskjaer as interim manager until the end of the season.
A sparkling run of form, including a new Premier League away win record, has made the Norwegian favourite to land the full-time position.
As well as an upturn in results, Solskjaer has won the players back around after a turbulent time under Jose Mourinho.
The Portuguese coach alienated a number of stars, including Paul Pogba, Anthony Martial, and Marcus Rashford.
But Solskjaer has got the best out of all of them – but is still struggling with one man.
Sanchez has scored just once under the former Cardiff manager and has been hampered by injuries.
And Solskjaer does not believe the Chilean will get back to top form before the end of the season.
“Alexis is coming back on Sunday,’ Solskjaer said on Friday morning.
“He’s not been on grass yet.
“He’s been seeing his people in Barcelona, he’s still a few weeks away so if we get to round about Everton, City, Chelsea.
“In that period he’ll probably be available.”
Asked whether he reckoned Sanchez will return to form, Solskjaer added: “I hope so.
“You can never be 100 per cent sure but Alexis is such a determined lad, he loves football and is doing everything he can to get back and show his best side.”
United take on Wolves in the FA Cup at the Molineux with a number of absentees including Romelu Lukaku, who scored a brace against Paris St-Germain to help them mount an incredible comeback.
“[Lukaku] had a sore foot this week he’s being assessed, so hopefully he’ll get through today,” Solskjaer added.
“Phil Jones is back, there have been so many players out, Anthony (Martial) is back, Ander (Herrera) has been training, Jesse (Lingard) has been training and we’ve got a decision to make tomorrow on who’s match fit.”