Amad Diallo, 18, will also come into their squad in 2021 as long as United manage to secure a work permit for the Atalanta winger, but the Norwegian boss appeared to suggest the club will not be looking for further signings due to the size of his current squad.
"It's hard to predict what the financial situation is, if teams need to sell or if they have got money to buy," Solskjaer said. "I don't predict a lot of ins and outs, to be fair.
"The world, financially, and football world has changed as well, it depends what the injury situations are. I feel very happy with my squad, we're getting stronger.
"I still have issues every week when we only have an 18-man squad: who do I leave out? I feel we're in a good position."