Italian midfielder Marco Verratti is also doubtful due to injury.
Asked if the victory was ideal preparation for facing PSG, Solskjaer said: 'Yes, I would have to say so because it's a tough place to come. In any case, we must wait.
"We have lots of Plan Bs". Without Ney [Neymar], maybe without Marco, maybe without Edi [Cavani], now we need a plan D.
But the Chilean, who joined Manchester United from Arsenal last January, hopes to experience European glory at the Theatre of Dreams.
"My feeling is that it's going to be very hard for him to play".
Cavani may now increase the woes of PSG, after recently picking up a thigh injury during a recent Ligue 1 clash with Bordeaux.
United themselves have been in great form and with the game being held at their home turf, United well and truly have an upper hand over their rivals on Tuesday night.
However, Tuchel says the Italy worldwide is eager to play a part.
If Mbappé is required to lead the line, Tuchel could deploy Ángel di María on the right and Julian Draxler on the left of the 19-year-old, but the patching up job extends further than just the attack. Meunier has suffered concussion and will be examined again at the end of this week before he can return to action.
"Verratti can play and will play", said the German coach.
Across France, a minute's applause was held before all games in tribute to Emiliano Sala, and his old team Nantes will wear black shirts as they mourn the Argentine striker in their game against Nimes on Sunday.
Mario Balotelli and Lucas Ocampos scored as Marseille won 2-1 at Dijon on Friday.