Manchester United manager Solskjaer doesn’t expect Sanchez to leave the club before the end of the European transfer window.
But, if he does leave the club on loan, United will likely have to pay most of his wages, according to the Manchester Evening News.
United would prefer that he left Old Trafford as soon as possible, and the club could try and force his hand.
Solskjaer may choose to omit him from all of the match-day squads before the transfer window for clubs from Spain, France and Germany closes on September 2.
United signed Sanchez from Arsenal in January 2018, but he’s had a turbulent time in the north west since his arrival.
He’s scored just three goals in 32 games for the Red Devils, and has struggled to pick up where he left off with the Gunners.
The 30-year-old signed a mega £500,000-a-week deal with United 18 months ago, which has dissuaded teams from trying to sign him.
He’s currently got two years left on his contract, which means his valuation would significantly drop next summer.
Sanchez wasn’t training with the first-team when he returned to Carrington at the end of last month.
He came back later than the rest of the squad as he was on international duty with Chile at the Copa America.
But Solskjaer has recently admitted that he expects the forward to stay until at least January.
“Alexis has come in and trained well,” said the United boss.
“He is, of course, four or five weeks behind the boys, and he has not played apart from the one behind closed doors here, so I think he’ll see this as an opportunity as well to make his mark.
“I do expect him to stay. There’s a striker there we think is going to be able to score some goals.”
Sanchez is reportedly keen on a move back to Italy, after bursting onto the scene with a successful five-year spell at Udinese, before his switch to Barcelona.
Juventus, Napoli, AC Milan and Inter Milan are all said to be interested in signing Sanchez, although any transfer would likely be a loan deal, with an obligation-to-buy clause.