The 33-year-old, capped 83-times and a pivotal member of the 2019 and 2023 World Cup winning sides, suffered the injury playing a Currie Cup match for Western Province last year.
France second-row Emmanuel Meafou is a doubt for next month's Six Nations showdown with Ireland after missing training with his club Toulouse on Monday.
Antoine Dupont is already looking ahead to France's likely Six Nations decider with Ireland after his team ran in a record 11 tries in Sunday's crushing 73-24 win over Italy.