Manchester United duo Edinson Cavani and Fred are available for Wednesday's Champions League clash with Atalanta.
However, Anthony Martial and Raphael Varane both unavailable despite the former training with the squad on Tuesday.
Harry Maguire is also fit after making his return from injury in the loss to Leicester City last weekend.
"Anthony joined in training today but he's still not fit enough to join us [for the match]," Solskjaer told reporters.
"Harry's not had any reaction so he's fine and good to go. We didn't lose anyone else from the game through injury at the weekend, so we're, more or less, a full squad.
"Raphael is still not with us but Edinson and Fred are back available which is good for us."
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