"Talks between the clubs could conclude on Friday about a deal that may amount to 60m euros", reported the BBC.
But Lyon President Jean-Michel Aulas earlier said the deal would NOT go through until after the World Cup.
"The deal is at a standstill, there is no way forward", Aulas had claimed. The case won't certainly be resolved during the World Cup and I do not think that there will be changes before (the WC). "We haven't set a price tag because we haven't discussed this [Fekir's transfer] yet".
Fekir has also drawn interest from Chelsea and Bayern Munich, but Liverpool have been aggressive in chasing his signature. Fekir is set to play for France on Saturday evening against the U.S., a game that will take place in Lyon's Stade des Lumieres.
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.