The Reds face the Saints in a quick turnaround following Wednesday’s UEFA Super Cup win over Chelsea in Turkey.
Liverpool got their top-flight campaign up and running with a 4-1 win over Norwich last Friday but the routine win was marred by an injury to Alisson.
The Brazilian was forced off with a calf problem in the first-half and there are fears he could be crocked for up to eight weeks.
Ex-West Ham keeper Adrian, signed on a free over the summer, replaced last season’s Golden Glove winner at Anfield.
He was superb in the Super Cup but Klopp has now confirmed he has an ankle issue, caused by a supporter invading the pitch in Istanbul.