The Frenchman, who has been reduced to just six appearances this season due to a foot injury, is expected to make a return before 2020.
Matic, on the other hand, has been sidelined since prior to the October international break with a groin problem.
Speaking at a press conference, Solskjaer added that Diogo Dalot, also impeded by a groin issue, was edging closer to full fitness.
Sergio Romero & Ole Gunnar Solskjaer previewing #MUFC’s final Europa League group game against AZ. Pogba is still out but Matic is back & Jones is fit. Dalot getting closer, Rojo could be back next week. Bailly & Fosu-Mensah are training with the team from next week onwards pic.twitter.com/fbU0ExWQ3x
— Simon Peach (@SimonPeach) December 11, 2019
Eric Bailly and Timothy Fosu-Mensah, two long-term absentees with knee problems, are set to start training with the next group from next week onwards, giving Solskjaer a major boost in the defensive area. Fosu-Mensah, although somewhat forgotten, is somebody who you suspect could become a midfielder in the long term.