The Frenchman is fully expected to join Anfield in the coming weeks in a deal worth around £60m.
And reports emerged on Saturday which suggested Fekir’s move was set to be confirmed this weekend, with a medical scheduled today.
However, according to the Daily Mirror, a transfer is not yet close to completion due to Lyon chief Jean-Michel Aulas.
The publication’s northern football correspondent David Maddock tweeted on Sunday: “Fekir did NOT travel to Liverpool this weekend. No deal imminent.
“He has told Lyon he wants to go, but discussions still in formative stages, with French club president Jean-Michel Aulas keen to wait until after World Cup in hope of fee increase.
“Fekir will leave and wants @LFC.”
Aulas is desperate to hold onto Lyon’s star man until after the World Cup in the hope of driving Fekir’s price up off the back of a good tournament.
The president may also get his wish due to new interest from Bayern Munich and Atletico Madrid which could spark a bidding war for the attacking midfielder.
Fekir appeared to say his goodbyes to his team-mates during Lyon’s final game of the season against Nice.
The 24-year-old was also given a standing ovation from the home fans as he left the pitch.