The Reds are set to shell out a hefty sum for the Georgian player, but will subsequently loan the goalkeeper back to Valencia for the upcoming season.
Per Fabrizio Romano, the two clubs have come to an agreement about the shot stopper.
Mamardashvili is a surprise first signing for new boss Arne Slot, given they have Alisson Becker in goal.
However, the Reds believe that Mamardashvili is one for the future, which is why they are acting now.
The initial plan had been to loan him out to a Premier League team, but Valencia have retained him for another year.