The Ligue 1 champions are believed to be at the front of the queue to sign the Lille-born starlet whose transfer from Lens as a 16-year-old upset the French club.
But, after only a handful of appearances for the Blues in three seasons, Kakuta went on loan to Fulham for the second half of last season and scored his first Premier League goal against Sunderland.
However, with new Chelsea boss Andre Villas-Boas on the lookout for a new winger, Kakuta knows he is unlikely to be involved much again at Stamford Bridge this season.
Several clubs have enquired but Lille look favourites to sign him on a season-long loan when he returns from the FIFA Under-20 championships in Colombia.
France coach Francis Smerecki believes the player needs to get regular first-team football now to avoid his development being stagnated.
"When you're 20, you have to go somewhere where you can play 25 games as a starter. Otherwise, progress is not made," he told Le Voix du Nord.