Fabinho has been sidelined for the last three matches, while Mane was ruled out of the fixtures with West Ham United and Brighton & Hove Albion.
Alisson, meanwhile, was unable to feature in the midweek encounter with Brighton due to illness.
Speaking at a press conference on Friday afternoon, the Reds boss said: "Ali feels much better, good enough to have an individual session today.
"Sadio and Fab will be in parts of team training today. Then we will see."