Paris Saint-Germain s French defender Presnel Kimpembe celebrates after winning g the French L1 football match between FC Nantes and Paris Saint-Germain (PSG) at the Stade de la Beaujoire Louis Fonteneau in Nantes, western France, on September 3, 2022. AFP
Kimpembe, 27, suffered the injury in PSG's 1-0 victory against Brest on Saturday.
France begin the defence of their World Cup title against Australia in Qatar on November 22.
"Presnel Kimpembe will not be available for about six weeks. A new assessment will be made in eight days," PSG said in a statement.
The injury also rules the 28-times capped Kimpembe out of PSG's Champions League group stage matches.
The French side face Maccabi Haifa in Israel on Wednesday after making a winning start against Juventus in their first game.
Kimpembe is one of several key France stars sidelined through injury as the World Cup approaches.
Midfielder Paul Pogba is recovering from knee surgery whilst both N'Golo Kante and Karim Benzema are also sidelined.
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