The Blues have a key Premier League clash against Tottenham at the weekend.
They are hoping to hold onto their fourth place in the league, which has come under threat after a run of one win in six games.
He is struggling with a groin injury that could keep him out for three weeks, per the report.
Kante's absence means that Mason Mount may have to come into the midfield and play next to Jorginho and Matteo Kovacic.
Chelsea have missed Kante this season, as he has only managed 16 Premier League starts.