It is possible that they will sign a much cheaper goalkeeper as backup, with Jurgen Klopp willing to give Loris Karius another chance after it emerged that his Champions League final errors may have been caused by concussion.
The possibility of such a move appeared to increase when Roberto Firmino admitted during a press conference last week that Alisson had asked him about life on Merseyside.
Despite reports from the player's home country claiming a Reds bid of £60m has been lodged, the Anfield recruitment team have made no such offer as they accept any deal is highly unlikely.
Fekir suffered a serious knee injury playing for France three years ago
Roma stopper Alisson and Atletico Madrid goalkeeper Oblak had been identified as Liverpool's top two targets, but transfer fees have proven as issue.
The keeper's Italian club Roma are still smarting from criticism over last summer's sale of Mo Salah to Liverpool for less than £40m, and have slapped a prohibitive price tag on Alisson as they maintain they don't want to sell.
What once looked to be a relatively simple transfer window for Liverpool and manager Jürgen Klopp has now turned into a markedly more complex one, as the club's failed pursuit of Lyon playmaker Nabil Fekir has complicated matters. However, a statement from Lyon confirmed that the deal was off on Saturday with Fekir set to stay put.
Though Klopp will be able to count on midfield reinforcements in the form of former Leipzig no. 8 Naby Keita and Fabinho come the new season, work still needs to be done.
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