The Irishman discussed leaving Liverpool with Klopp last year, but was convinced to stay by his manager.
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Klopp said: "You would have to ask him but I think now that he would be quite happy with the decision he made this summer (to stay).
"For a club like Liverpool, the gap between the first and second goalkeeper cannot be large.
"There must be quality because the demands are too great for a goalkeeper to play four years in a row in all competitions."