Chelsea are fourth in the Premier League table and have a battle on their hands to qualify for next season’s Champions League, with Manchester City and Newcastle just two points behind them in fifth and sixth place respectively.
The Senegal forward missed Chelsea’s 2-1 defeat to Brighton in the FA Cup, having been forced off during the Premier League win at home to West Ham earlier this month.
Blues boss Enzo Maresca initially suggested Jackson’s injury was not serious but scans have confirmed the 23-year-old has suffered a hamstring problem serious enough to sideline him until after the March international break.
Chelsea travel back down to Brighton in the Premier League on Friday and will also be without fellow striker Marc Guiu for the game.
Maresca has confirmed Guiu suffered a “bad” injury against West Ham, believed to be an abductor issue that could rule him out for “weeks or months”.