The Brazilian produced his 138th shutout for the Reds in Friday night's win at Ipswich Town, on appearance No.336.
That saw him rise clear of the total Northern Irishman Elisha Scott amassed between 1913 and 1934.
One hundred and four of Alisson's tally have come in the Premier League, 28 in European competition, four in the FA Cup, one in the Carabao Cup and another in the FIFA Club World Cup.
Only Pepe Reina (177), Bruce Grobbelaar (267) and Ray Clemence (323) have more clean sheets for Liverpool than the 2018 arrival from AS Roma.
Most clean sheets for Liverpool's men's team
Ray Clemence – 323
Bruce Grobbelaar – 267
Pepe Reina – 177
Alisson Becker – 138
Elisha Scott – 137
Tommy Lawrence – 133
David James – 102
Jerzy Dudek – 74
Arthur Riley – 69
Simon Mignolet – 65