Despite earlier reports suggesting a deal would not be completed until after the World Cup had finished, a fee has reportedly been agreed between the two sides.
However, L'Equipe have offered Liverpool fans a boost before the global tournament that kicks off next week, with the French outlet claiming that a deal is very close to being complete.
"Not set a base price because we have not discussed this yet".
Les Bleus will take on the United States this weekend, in their final World Cup tune-up.
Bayern Munich and Atlético Madrid have also been linked with Fekir, who can operate in a number of forward roles and would in effect be Philippe Coutinho's replacement at Anfield.
A fourth transfer could soon be on the cards with reports claiming a £12m deal for Stoke's Xherdan Shaqiri could be in the pipeline.