Amad Diallo is expected to make his debut at Anfield.
The 18-year old winger trained with the squad on Thursday after completing his move from Atalanta.
United have the chance to go six points clear at the top if they manage to squeeze out a win at Anfield.
Solskjaer refused to rule out the possibility of Amad Diallo making his debut on Sunday.
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“Let him have some time,” Solskjaer told Norwegian outlet Dagbladet.
“But whether it is against Liverpool in the league, in the FA Cup, this weekend or in a few weeks it is questionable.
“We have a very fresh squad. There are only one or two that are questionable for the weekend.
“I do not rule out that he is in the squad for the Liverpool match. Things can happen.
“You see how fast things happen over here in England. Suddenly, a team has six players out with coronavirus.
“So you do not know. I do not want to put any time on it, but he is at least in the group, trains with us and can be chosen in the squad.”