According to the report, Liverpool and Lyon have reached an agreement for the transfer of the 24-year old attacker, with the Reds forking out €65million (£57.1million) to land their man, with an additional bonus of €7million to be paid.
Neither Liverpool nor Everton would struggle to find the £12m fee needed to keep Shaqiri in the Premier League, so much will depend on the player's ambitions and how he fits into the plans of the two clubs.
Talks have been ongoing, but a power play emerged from Lyon's side, with president Jean-Michel Aulas hoping to lure other bidders into the reckoning.
And Liverpool's signing of the striker, who will undergo a medical this Friday in Liverpool before the move is officially announced, could be absolutely key to the summer transfer market.
Despite this, Goal understands Liverpool believe a deal can be thrashed out before Fekir flies to Russian Federation with his national team this weekend.More news: People are literally queueing around the block for the Nigeria kit launch
However, speaking earlier on Thursday, Aulas said: "The [transfer] is at a standstill, there is no way forward". "The deal will certainly not be closed during the World Cup and I don't think there will be any change before the World Cup".
"He added: "[We] have not set a base price because we have not discussed this yet".
Les Bleus will take on the United States this weekend, in their final World Cup tune-up.