Kamara damaged his knee during the 2-1 FA Cup win over Tottenham Hotspur on January 10th.
He will complete his rehabilitation with Villa, but the injury virtually wipes out any chance of him adding to his five caps and making the France squad for the World Cup later this year.
The 26-year-old joined Villa from Marseille in 2022, scoring once in 18 appearances in the Premier League this season as Unai Emery's side have climbed to third in the table, seven points adrift of leaders Arsenal.