Lille's on-loan Liverpool midfielder Joe Cole could remain at the Ligue 1 club past the end of the season, according to president Michel Seydoux.
Cole has made a good impression at Lille, who could still reach the knockout stages of the Champions League.
Lille won 2-0 away to CSKA Moscow to lie third in Group B, one point behind Turkish side Trabzonspor, who they play at home in the final game.
Seydoux told RTL: "It is not a certainty that he will leave us at the end his contract.
"If he has a certain good feeling with Lille and we can make him an interesting offer. This is something that we will look into."
However, Seydoux is not certain the club will be able to keep Belgian winger Eden Hazard.
"If we don't do well it's probable that he will leave the club after this season as there's plenty of interest.
"Will 50million euros be enough? Nobody is irreplaceable and there are solutions for that kind of money."
Lille coach Rudi Garcia has his sights set on the Trabzonspor game after the victory in Moscow.
He told the club website: "We just made a step forward and have to beat Trabzonspor at home."
