The Canada international is facing an uncertain future with the French side, having entered the final year of his current contract.
David's quality and contract situation has alerted several of Europe's biggest clubs, including La Liga leaders Barcelona.
Hansi Flick's side are believed to be leading the race for the Lille striker, who is understood to be 'dreaming' of completing a move to the Catalan giants.
Liverpool are also among the top European clubs who have been credited with an interest in signing the Lille forward in 2025.
Barcelona, Liverpool receive David boost
With David attracting significant interest, he has seemingly made an important decision which will come as a welcome boost to his potential suitors.
According to the Daily Star, via the Liverpool Echo, David has turned down the chance to sign a new contract with Lille.
With David reluctant to sign a new deal, Lille may have to decide whether to entertain a cut-price sale in January or to run the risk of him departing on a free transfer next summer.
Barcelona and Liverpool will now be on high alert, but they could face further competition from the likes of Manchester United and Paris Saint-Germain.
Why is David attracting significant interest?
David has been linked with a move away from Lille for a number of years, having built a strong reputation during his time with the French club.
The forward has scored 92 goals and provided 20 assists in 197 competitive appearances since joining Lille from Gent in the summer of 2020.
The 24-year-old has made an impressive start to the 2024-25 season, having racked up eight goals in 14 matches in all competitions, including a winning goal in Lille's most recent Champions League game against reigning champions Real Madrid.
David will attempt to score against the other major Madrid-based side in Wednesday's Champions League clash with Atletico Madrid.