But Liverpool are expected to look at alternative targets as they are unwilling to spent £79million - Alisson's buy-out clause - to strike a deal.
It is understood Liverpool are unwilling to meet Roma's £80m valuation of the player - potentially a world-record price for a goalkeeper.
Having starred in Serie A over the last two seasons, the 25-year-old talent is drawing plenty of admiring glances from afar.
"Alisson can be amongst the best in the world, alongside Courtois, De Gea and [Manuel] Neuer".
However, fresh reports from Italy indicate that the Reds are wasting no time in their hunt for a new number one, with Lazio goalkeeper Thomas Strakosha the latest name to be linked.
Alisson Becker in action for Roma. Pic Matteo Ciambelli Nur
"I think everything will be resolved before the World Cup begins, it's what I want".
"The truth is that I left everything in the hands of my agent".
The Roma custodian wants his future sorted out before the start of the World Cup, enabling him to give Brazil his fullest commitment and concentration. If everything is not resolved, it will be discussed after the World Cup. "We'll see if something happens during this week".
The 1994 World Cup victor, who also spent time in Italy with Parma during his playing career, told Tele Radio Stereo: "Alisson is very happy at Roma and the rumours of a transfer are just rumours".
"There are options that we are working on, together with Roma and with respect for my club", he told Globoesporte.
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The White House did not immediately return CNN's request for comment. "We had to endure this under the Trump administration", Young said.
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