The Foxes are not keen on losing their number one in the January transfer window.
The Reds are reportedly in the market for a new goalkeeper this month, with current number one Simon Mignolet having come in for criticism once again this season.
They have already been linked with several potential targets, and the Foxes ‘keeper is now said to be on their wanted list.
However, his current club have no desire to sell him in this transfer window, and have conveyed that to Jurgen Klopp’s side, according to the Mirror report.
A move in the summer could be on the cards though, and the pressure to sell is likely to be ramped up again once the season finishes.
They will face competition for the 29-year-old from the Premier League for signature also, with Manchester United, who his father Peter famously played for, also interested in a move.
Whether he would be open to either move is debatable though, with his current side enjoying much better fortunes that both United and Liverpool at present.
The Foxes are currently competing for the title after an impressive season so far under Claudio Ranieri, and with ten points now separating them from United in fifth, a place in the Champions League is looking increasingly likely next season.
He is also the undisputed number one at the King Power Stadium, something he would not be at either Liverpool or United, again making a move seem even less likely.