The Brazil international has been out of action since coming off with a calf injury in the 39th minute of the 4-1 win over Norwich at Anfield on August 9 on the opening weekend of the Premier League season.
The 27-year-old, who was named men's goalkeeper of the year at the Best FIFA Football Awards late last month, confirmed at the time that he had moved from sessions in the gym to training outside.
Alisson has spent the first week of the international break participating in an intensive and individually tailored training programme.