The 25-year-old, who currently plays for Roma in Italy, is cutting short his vacation to undergo a medical on Merseyside after being given permission to talk to Liverpool.
“An official announcement should follow in the next 24 to 48 hours,” claimed the Liverpool Echo. Place bet on Live games 24/7
The deal will cost the Anfield giants €75 million, smashing the amount paid to Benfica by Manchester City for Alisson’s compatriot Ederson last summer.
Liverpool are desperate to sign a new goalkeeper to replace Loris Karius following his calamitous Champions League final performance.
Chelsea have also been linked with Alisson who began his career with Internacional before moving to Roma two years ago.
Italian website Forza Roma, which is affiliated to newspaper La Gazzetta Dello Sport, published a video which it said showed Alisson at Rome’s Ciampino airport.
Alisson spoke in the video, saying: “Greetings to Roma fans. I’m sorry but I cannot say any more, I’ll say everything later.”