It has also been claimed that the Reds will have to pay a transfer fee of €65 million (£57.13m) plus a bonus of €7m (£6.15m) in order to secure the services of the 24-year-old, who can operate as an attacking midfielder or as a forward.
L’Equipe has also reported that the France international will undergo a medical on Friday.
Fekir is a very good attacking player who would be a brilliant signing for Liverpool and would enhance their chances of winning the Premier League title next season.
The France international also scored three goals and provided one assist in eight Europa League matches for Lyon during the 2018-19 campaign, according to WhoScored.
Liverpool have already signed Fabinho from Monaco this summer, while Naby Keita will also move to Anfield from RB Leipzig.