Reports in the British media over the past week have linked Fekir with a switch to the Merseyside outfit.
The Reds are in the market to sign a central midfielder capable of replacing Germany international Emre Can.
The former Bayer Leverkusen midfielder is being linked with a move to Serie A giants Juventus given the German star’s current Liverpool FC deal is set to expire in the summer.
Liverpool FC were thought to be closing in on a £62m deal for Fekir after it was claimed that Jurgen Klopp had met with the Lyon captain.
However, Fekir’s father has moved to poor cold water on the transfer speculation linking the 24-year-old with a move to the Premier League club at the end of the current campaign.
Mohamed Fekir insisted that the Lyon star is desperate to play in the Champions League with his “boyhood club”.
“Nabil in Liverpool, that’s wrong,” Mohamed said, speaking to Olympique-et-lyonnais.com.
“I hear there are arrangements, stuff like that – I was surprised.
“I can deny this information right now; it’s not true. Otherwise Nabil would have told me right away, we are very close.
“I can guarantee you that he never met him [Klopp]. His dream is to play in the Champions League with his boyhood club.”
Liverpool FC are in the Champions League final for the first time since 2007 after the Reds were 7-6 winners against Serie A giants AS Roma in the last four.
The Merseyside outfit will take on current holders Real Madrid in the Champions League final later this month.
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