The Argentine is ambitious about his career and may want to play outside the Premier League one day.
However, he has only been at the Anfield club a year and wants to make his mark over the long term.
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"I'm not talking about assumptions, I'm very happy in Liverpool," he told ESPN Argentina while on international duty.
Mac Allister is not expected to have any issues integrating to the style of incoming boss Arne Slot.
The man who signed him, Jurgen Klopp, is departing for a sabbatical from the sport.