Fekir was widely expected to be their second signing.
But the Mirror say Klopp now faces a wait to land him and, in the wake of this, has altered his plans.
Liverpool are understood to be pursuing a new No 1 following Loris Karius’ Champions League final nightmare.
Yet they will reportedly not make any more signings until they secure Fekir’s signature.
Lyon are likely to cash in on the 24-year-old at some point - but not until after the World Cup.
Liverpool transfer news: Jurgen Klopp has changed his plans because of Nabil Fekir (Image: GETTY)
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That would allow them to make maximum money from a player who has spent his entire career in their ranks.
Meanwhile, ESPN pundit Craig Burley thinks Fekir, and two others, will be enough for Liverpool to challenge for the Premier League title next term.
“This looks great for them going forward, absolutely going to be fantastic football again next year no matter who plays,” he said.
“But they still need a centre-half and a goalkeeper. That’s the next step.
Nabil Fekir goal celebration causes crowd trouble
“Not close enough (to Man City).
“The goalkeeping situation is a problem and the centre-half position.
“Albeit that improved in the second-half of last year, they need a partner for (Virgil) Van Dijk regularly going forward.