Roma have already lost another key player this summer after Belgian midfielder Radja Nainggolan left for Inter Milan, while the club sold Mohamed Salah past year, with the Egyptian winger going on to score 43 goals in all competitions for Liverpool.
The 25-year-old travelled to England on a private jet on Wednesday evening and will undergo a medical with the Reds in the next few days.
Alisson had always been linked with a move away from Roma after enjoying a fine season in 2017-18, playing a big role in the side which reached the Champions League semi-finals, before being eliminated by the Reds.
"In terms of my life and my career, it's a huge step for me being part of this club and this family", said Allison.
The 2015 season saw Alisson finally establish himself in the starting XI (keeping 15 clean sheets in 26 league appearances) and indeed make his global bow with Brazil in a World Cup qualification match against Venezuela.
Karius endured a dismal night in last season's Champions League final, making two mistakes that led to goals in a 3-1 defeat to Real Madrid.
I'll always carry Roma in my heart, says Liverpool signing Alisson
At over £30m more than what was spent to recruit last season's star, Salah, from the same club, it seems Liverpool have set a new benchmark for record spending which even they may find hard to justify.
In addition to Brazilian Fabinho, manager Juergen Klopp has also added fellow midfielder Naby Keita, forward Xherdan Shaqiri and goalkeeper Alisson Becker to the squad. It obliterates the record held for almost 17 years by Gianluigi Buffon for his $62 million transfer from Parma to Juventus in 2001.
There was a world-class goalkeeper on the market, and the club gave us the opportunity to sign him. I'm an agile "keeper; despite being tall, I've got very good agility and strength in my legs", Alisson said. The league is different, the refs are different, the goalkeeper life is different in the Premier League. He spent the first season as Wojciech Szczesny's back-up and did not play a league game.
Alisson had kept three clean sheets in Russian Federation prior to that 2-1 Belgium defeat, while he recorded 17 cleans sheets from 37 Serie A games last season.
We have three outstanding goalkeepers and two very young and very talented goalkeepers but we need that, so I'm happy about that.
"Liverpool FC needs just the highest quality goalkeepers and that's what we have at the moment, we'll see now what we do in the next few weeks".
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Speaking of turnovers, the rookie finished the Summer League with just three of them during 158 combined minutes on the court. Equally as important, he has given teams the opportunity to rethink who they put on their Summer League rosters next year.