Pressure on Schmeichel
Liverpool have already moved to recoup some of their initial £53.8m (€60.1m) outlay on Brazilian goalkeeper Alisson by agreeing a £12.5m (€14m) deal with Leicester for Wales international Danny Ward.
Leicester's move for Ward means Kasper Schmeichel is facing an uncertain future at Leicester.
Schmeichel, who impressed at the World Cup for Denmark, is understood to have clashed with manager Claude Puel towards the end of last season and Ward could come in as Leicester's No 1.
Leicester expect interest in Schmeichel this summer but are under no pressure to sell after the £60m (€67m) departure of Riyad Mahrez to Manchester City.
Meanwhile, Liverpool manager Jurgen Klopp has revealed he had to talk Jordan Henderson into taking a full summer holiday after the Liverpool captain asked to report back to training early.
Henderson has three weeks off following the World Cup, which means he is not due back to work until August 5.
That means he has been effectively ruled out of the opening weekend fixture with West Ham as Klopp wants his players to complete a full pre-season.
Trent Alexander-Arnold may be given permission to return a week earlier, partly due to the fact he did not play much in Russia, but also because of his age, making fatigue less of a concern for the season ahead. However, Klopp insisted on Henderson having a break.
"It was a hard fight to convince him that he needed a holiday," said Klopp.