Liverpool have triggered the option to extend Alisson's contract to June 2027, giving the club leverage in any negotiations.
The Brazilian, 33, has made 34 appearances across all competitions this season, keeping 13 clean sheets.
However, injury has disrupted his campaign and the club's long-term succession plan centres around Giorgi Mamardashvili, the £29 million signing from Valencia who has stepped in during Alisson's absences.
Journalist Matteo Moretto reports a verbal agreement between the player and Juventus, with the Giallorossi prepared to offer a two or three-year contract worth around €5-6 million per year.
Alisson has a longstanding connection to Italy from his time at Roma before joining Liverpool in 2018 and is understood to prefer that option over joining another English club.
The obstacle is financial. The Corriere dello Sport reports Liverpool are seeking €10-15 million in compensation for a player who still has a year on his contract.
Juventus would prefer to significantly reduce or eliminate a transfer fee entirely. Luciano Spalletti and club legend Giorgio Chiellini are understood to be the primary advocates for the move within the Juventus hierarchy.