"He has taken a full part in the last two training sessions with us, but we will decide tomorrow (Wednesday) after training," Tuchel said at his eve-of-game press conference.
"We will wait to see how he responds, so there will be a final decision in the morning."
The Uruguayan striker has not played since injuring a tendon in his hip while scoring a penalty during a Ligue 1 game against Bordeaux on February 9, just before the first leg against United, which PSG won 2-0.
Neymar remains on the sidelines for the French champions, with the Brazilian not expected back from a metatarsal injury for around a month.