The 25-year-old - who has previously been linked with Arsenal - has made more than 100 league appearances for the Stadio Olimpico outfit since making his debut in 2002, scoring nine times.
And with Liverpool confirming on Monday that they are in talks with Real Madrid over the sale of Spanish international Xabi Alonso, Anfield boss Benitez is believed to be eyeing up the Italian, who has 11 caps for the Azzurri, as a replacement.
According to Spanish daily Marca, the Reds will soon complete a £15.3 million deal for the Italian playmaker, who is currently recovering from recently undertaken ankle surgery.
And Giannini, who made more than 300 league appearances for the Eternal City side from 1982-96, is confident Aquilani would fit right in on Merseyside.
"Aquilani would do well at Liverpool," he told Goal.com.
"He would not have any problems adapting to the Premier League. English football is perfect for Aquilani.
"He has all the right characteristics to do well there. He will show Liverpool what he is all about.
"I have no doubts that Liverpool will sign a great player in Aquilani. I think his future will be in the Premier League."
NEWS: Liverpool set to seal Aquilani deal
NEWS: Liverpool in talks over Aquilani acquisition
NEWS: Roma open to Aquilani offers
NEWS: Agent refutes Aquilani reports
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