Pogba was hoping to make his debut after the current international break.
However, the thigh strain has forced him to take a break from the team.
This means his planned debut against Angers on October 18 is now unlikely to happen.
Pogba has not played competitively since September 2023 due to a doping ban.
His ban was eventually reduced from four years to nine months on appeal.
He signed with AS Monaco over the summer and is an international player for France.