Lille signed Ivory Coast international Salomon Kalou on Saturday in a bid to bolster their depleted forward line having sold Eden Hazard to the European champions.
Kalou, 26, had mostly been a bit-part player during his six years with the London club and was released after his last appearance in the Champions League final win over Bayern Munich in May.
The arrival at Stamford Bridge of Belgium wingers Hazard and Kevin de Bruyne, as well as German Marko Marin, had made Kalou's departure from Chelsea inevitable.
Lille, Ligue 1 champions in 2011 before finishing third last term, have also lost loan winger Joe Cole who has returned to his parent club Liverpool.
Joe Cole advised me to join Chelsea, says Hazard
Kalou and Bosingwa leave Chelsea
Van Gaal gets second stint as Netherlands coach
Champions League is all Cech wanted for his birthday
Hazard agrees terms with Chelsea, passes medical