Jurgen Klopp has claimed that it would take a massive offer for Liverpool to sell Kelleher in the next transfer window.
But the Ireland goalkeeper has only made 20 appearances for the Reds and there is an understanding that at 24 he needs to be playing week-in-week-out.
Liverpool are likely to consider offers to move him on and there are several teams in the Premier League who are interested in him.
It has been claimed that Spurs, Brighton and Brentford are three clubs who are keen to sign him from the Merseyside giants.
There is also interest from clubs in Europe but a move within the Premier League has not been ruled out.
With Liverpool expected to be out of the Champions League next season, Kelleher is also one of the few saleable assets the club have.
But it has been claimed that the Reds would like the option of including a buyback clause in any deal to sell him.
Kelleher is keen on a move as he wants to play as the number-one goalkeeper somewhere else.
