Both players were forced to withdraw from international duty over the past fortnight, but the English pair took part in training on Friday and will be considered for selection on Sunday.
The knee injury sustained by Anthony Martial while away with France, though, is expected to keep the forward out of action for at least one match.
However, it is at the opposite end of the field where Solskjaer has his biggest headache. Dean Henderson has started United's last six games, but David de Gea is back in contention following the recent birth of his child.
Victor Lindelof is another player carrying a knock for United, which will possibly mean Eric Bailly partnering Harry Maguire in the backline, with Luke Shaw and Aaron Wan-Bissaka almost certain to start at full-back.
Bruno Fernandes has scored seven winning goals in the Premier League this season and looks nailed on for one of the central-midfield berths.
Manchester United possible starting lineup: De Gea; Wan-Bissaka, Bailly, Maguire, Shaw; Pogba, Fred; James, Fernandes, Rashford; Cavani
Watch the Sports Mole Football Shorts prediction for this game below: