In a statement, PSG said that 22-year-old French forward Mbappe had "contracture in the right calf" to be absent in the league match against Lens on Saturday in Paris.
The club did not give any detail about Mbappe's return.
In addition, PSG said that Spanish left-back Juan Bernat is carrying on his recovery works as the 28-year-old had a "ruptured anterior cruciate ligament" in his left knee last September.
The major injury forced Bernat to miss the majority of the 2020-21 season.
Mbappe is one of the main goal threats for Paris Saint-Germain, scoring 37 goals in 43 appearances this season.
League leaders Lille have 73 points in 34 league matches as the season in France will end in four weeks.
Second-place PSG have racked up 72 points as the Paris team will be looking for a mistake from leaders Lille.
Monaco - a club on the French Riviera - are now in third place with 71 points.
PSG will visit Manchester City on May 4.