That is reportedly because the goalkeeper sees his future at the Bet365, with Butland keen to help Stoke secure a Premier League return.
As a result, Liverpool now look set to give Karius a chance to recover from his Champions League nightmare.
The Sun say he is set to retain his No 1 jersey and, with Simon Mignolet tipped to go, will be their first-choice shot-stopper for when the Premier League kicks off again.
Another player Liverpool have been tracking is Roma’s Alisson Becker.
The Roma star is currently on international duty at the World Cup in Russia and is expected to start Brazil’s crunch clash with Mexico today (3pm).
Liverpool transfer news: Jurgen Klopp will continue to trust Jack Butland (Image: GETTY)
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However, the Reds are currently below two teams in the race to sign the 25-year-old.
Real Madrid want him as a replacement for Keylor Navas, who may be axed by new boss Julen Lopetegui.
But Chelsea’s interest is also growing.
The Blues are expected to confirm Maurizio Sarri as their next manager, with the west London giants close to agreeing a compensation package with the 59-year-old’s former club Napoli.
And Chelsea want Alisson with Thibaut Courtois expected to jump ship to La Liga.