The 22-year-old has been linked with the likes of Valencia, Tottenham, Chelsea and Paris Saint-Germain.
L’Équipe reports that the midfielder will leave Lille for around £20million.
Boufal has impressed for Lille in Ligue 1 this season.
The midfielder has previously also been linked with the likes of Manchester United, Manchester City, Arsenal, Stoke, Southampton, Juventus and Inter Milan.
