"He has been working hard, with a good mindset. We could get him back as soon as tomorrow," Tuchel told a news conference.
Neymar, who has scored 13 goals from 13 league appearances this season, has been out of action since picking up a foot injury in January. PSG will clinch their eighth Ligue 1 title if they beat Monaco at the Parc des Princes.
With Neymar missing from action, PSG were knocked out of the Champions League last 16 after losing the return leg 3-1 at home to Manchester United. They beat the Premier League club 2-0 in the first leg at Old Trafford.
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With Edinson Cavani also out injured lately, and several key players unfit, the side have picked up only one point from their last three Ligue 1 games.
They will take on Stade Rennais in the French Cup final next Saturday, a game for which Tuchel is also hoping to be able to bring on captain Thiago Silva who sustained a muscle injury last weekend.
PSG, who have 81 points from 32 games, lead second-placed Lille by 17 points. Lille travel to Toulouse on Sunday.
(Reporting by Julien Pretot; Editing by Sudipto Ganguly)
