United boss Solskjaer says both are suffering from “minor niggles” and will not be available for their final group stage game in Germany, from which a point is needed to secure a place in the knockout stages.
“David [De Gea] is back in travelling, Luke [Shaw] is travelling,” said Solskjaer.
“Edinson and Anthony they’ve only minor niggles but they won’t be making the trip.
“You get to the last game of the group stage and you’re in the next round if you go and win that game or you get a draw so it’s an important game. Of course it is.”
United are level on nine points with both PSG and hosts Leipzig.