Solskjaer will, however, have an upbeat Phil Jones at his disposal following the defender's commitment to a new four-year contract on Friday.
The 33-year-old former Manchester United and Everton captain, speaking in an interview with CNN World Sport released on Tuesday, said he was not a fading force and he could still compete against some of the world's best players.
The 23-year-old has been exciting for the Red Devils so far this campaign - scoring nine goals and one assist in all competitions. I think we have to let him be free by defending his back sometimes.
"If you look at the players, the age of them, they're young".
"Well, hopefully he'll recover because he's been training hard - really hard - then he got a setback, so hopefully in a couple of weeks he'll be back with us", Solskjaer said.
"It was good enough but we shouldn't just be happy with just good enough; we want to improve in games like this".
"It will reveal do we have the focus on what's important, which is always the next game and can we forget about PSG. We're delighted Phil has committed his future to the club".
"Two years' time is long enough, but also short enough to say that we've got the possibility to make a big difference in our preparation, in everything".