According to a report from Sacha Tavolieri, newly promoted Hull City are interested in signing the Belgium international.
Two years after joining Lille on a free transfer following his departure from Trabzonspor, Meunier is set for another exit.
The experienced full-back has been an important figure under Bruno Genesio, whose tenure at the club also ended last month.
Last season, the former Paris Saint-Germain defender made 35 appearances in all competitions, scoring twice and providing three assists.
Despite his contribution, Lille are not planning to extend his stay and are already working on a replacement. Tavolieri Hull City, for their Premier League return, are pushing for the right-back, talks advanced stage.
