Maignan, 25, is seen as a credible candidate to challenge Kepa at Stamford Bridge.
Kepa’s future at Chelsea is uncertain after the Blues boss, Frank Lampard, dropped him for their Premier League final day tie against Wolves last month.
Lampard opted to feature veteran goalkeeper Willy Caballero ahead of Kepa as Chelsea defeated Wolves 2-0 at Stamford Bridge.
Maignan was an ever-present for Lille last season and would cost Chelsea around €30m (£27m) to sign him.
However, Chelsea are yet to make an official bid for the shot-stopper.
Maignan played for France at every international level from U16 to U21 and has also been called into the senior squad.