Fekir has also drawn interest from Chelsea and Bayern Munich, but Liverpool have been aggressive in chasing his signature.
Reports suggests Fekir is now valued at around £60m by Lyon.
This news will be music to the ears of Liverpool fans as the man touted as the long-term Coutinho replacement looks finally set to don the famous red jersey and call Anfield his new home.
Liverpool have remained determined to wrap up the deal before the World Cup gets underway and now it appears that they have been successful, with the deal set to be confirmed on Friday.
Liverpool remain confident, despite Lyon president Jean-Michel Aulas claiming the deal is at a "standstill".
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The 45-year-old spoke with club captain Sergio Ramos on the phone before notifying the rest of the squad about his decision. I'm not looking for another team.
Didier Deschamps' team play the United States in Lyon on Saturday in their final warm-up game before the finals.
The Independent report that Aulas believes that Liverpool will have to calculate the potential of summer performance into their offer. The Lyon chief also added that he had not determined the price tag of the 24-year-old.
"If you are the player, or if you are his agent, you're thinking "Liverpool are after me, other people are sniffing around, should I just hang on and wait for the World Cup?"
The Swiss winger was part of the Stoke City side relegated last season and has been clear about his plans to exercise a relegation release clause written into his contract with the Potters.