"Talks between the clubs could conclude on Friday about a deal that may amount to 60m euros", reported the BBC.
Bayern Munich and Atletico Madrid are also reportedly interested in the French worldwide - but Liverpool are now in the driving seat.
SpaceX postpones the Falcon 9 rocket launch to June 4
If this launch of SpaceX would not have taken place on Monday, the following window was scheduled for Tuesday, 5 June. After extensive tests and checkout, the spacecraft is expected to enter operational service early next year.
Fekir is due to fly to Russian Federation with France's World Cup squad after their game against the United States of America on Saturday.
The Reds are also considering whether to active the £12m release clause in Xherdan Shaqiri's contract as he is poised to leave Stoke City following their relegation to the Championship.