Liverpool's medical team expect goalkeeper Alisson to be back to full fitness when the club face Manchester United on 20 October.
The shot-stopper has been recovering from a calf injury picked up during the opening day defeat of Norwich City at Anfield, the Reds getting their Premier League title challenge underway with a 4-1 triumph.
As a result, he has had to watch from the sidelines whilst Adrian deputises, the Spaniard playing in six top flight fixtures, plus two in European competition.
The latter has been solid in Alisson's absence, though a dreadful error away to Southampton in August nearly proved costly for his side.
Adrian was unable to prevent a late show from Napoli downing Jurgen Klopp's men at Estadio San Paolo in their first Group E game, though he was the hero during the penalty shootout victory versus Chelsea in the UEFA Super Cup, saving the decisive spot-kick from Tammy Abraham.
Nevertheless, the 32-year-old will lose his starting place once Alisson is back, with the Brazilian's having been fitness assessed on Monday by the Reds' goalkeeping coaches.
He will now begin full training with the rest of the squad ahead of the clash with Salzburg on Wednesday. However, Klopp and his staff remain wary of rushing the £67m signing as he continues his recovery.