The Ivory Coast forward only moved to France last summer on a free transfer following his release by European champions Chelsea, penning a four-year deal.
However, the 27-year-old has struggled to find his best form for the Ligue 1 club, scoring just three times in 18 appearances.
Lille are reportedly ready to sell the former Feyernoord youngster in the January transfer window, with an asking price in the region of €3.5million (£2.8m) mooted.
West Ham and Liverpool are believed to be keen on bringing Kalou back to England, while QPR and Everton have also been linked with a move for the striker in the past.
Kalou has previously insisted that he would be happy to stay at Lille, but admits a potential move back to the Premier League would interest him.
"I am flattered with all teams linked with me in England," said Kalou, who is currently on international duty with the Ivory Coast ahead of the Africa Cup of Nations later this month.
"It means I am not a bad player as some people think. Teams such as Liverpool, West Ham, are very good teams."