The Senegal forward underwent surgery in April having damaged the meniscus in his left knee, and was excluded from the squad which on Sunday travelled to Hong Kong.
Liverpool are scheduled to face Hertha Berlin in a friendly on July 29 before participating in the Audi Cup, which also includes Bayern Munich, and boss Jurgen Klopp expects to have the 25-year-old available.
"Sadio is on the way back," Klopp told the club's official website
"The plan is he will come with us to Germany.
"The plan is he trains completely normally with us when we are back in England.
"We have been waiting long enough for him now
He is around (Melwood) all of the time and is in pretty good shape.
"Unfortunately he was not ready to train, but he looked good, (the injury) looks good and so now he should be fine when we get back."
Source : PA
Source: PA