The Brazilian goalkeeper has been out with a calf injury since the first match of the season against Norwich.
Veteran Adrian has stepped in as his replacement and helped Liverpool to eight straight league wins as they have an eight point advantage over Manchester City.
Alisson is likely to slot straight back into the starting XI when he does return and could be back for this weekend’s match.
Liverpool face Manchester United at Old Trafford and have the chance to make it nine consecutive wins to start the 2019/20 campaign.
Having their £66.8million goalkeeper return will be a big boost for Jurgen Klopp’s side as they look to claim their first league title in 30 years.