He was forced to leave the game in the second half and was replaced by summer signing Giorgi Mamardashvili, who is set to make his Premier League debut against Chelsea.
Alisson is scheduled to undergo a scan on Thursday to determine the extent of his injury.
This could potentially affect his availability for several upcoming matches, including fixtures against Manchester United, Frankfurt, Brentford, Crystal Palace, and Aston Villa.
Liverpool manager Arne Slot expressed concern about the injury, stating that when a player feels pain while sprinting back, it's often a sign of a serious issue.
Alisson has experienced similar hamstring problems in the past, forcing him to miss significant time on two separate occasions.
Giorgi Mamardashvili, who is set to replace Alisson, has the experience to fill the gap and may be relied upon for the foreseeable future.