The world's most expensive player has been sidelined since January 23 with a foot injury he sustained in a French Cup win over Strasbourg and was originally ruled out of action for 10 weeks.
PSG anticipate he will be back in time for a potential Champions League quarter-final in April.
Neymar has been in his native Brazil since February 20 as part of his recovery process. He missed the French club's 2-0 first leg victory.
"It's important for us that he comes back to Paris before facing Manchester United to help us and to support us.”
Neymar