The 32-year-old goalkeeper was replaced by new signing Giorgi Mamardashvili in the 56th minute of the Champions League game against Galatasaray on September 30, after picking up what appeared to be a knee injury.
This injury marks the second consecutive defeat for Liverpool in all competitions, following their loss to Crystal Palace in the Premier League last weekend.
Slot spoke to the press after the game, confirming that Alisson will not be playing in the match against Chelsea on October 4.
"It's not ideal when a player has to leave the game due to injury," Slot said. "We can confirm that Alisson will not be playing on Saturday."