The 21-year-old Italian played under Rodgers at the Chelsea Academy and on loan at Swansea City.
According to reports, talks between the parties are ongoing and although the deal has yet to be agreed, the potential fee is likely to be in the region of £8m.
Rodgers claimed earlier today that he was close to making an "exciting" signing.
"We hope to complete a deal this week which will be a real exciting one for the club," he told reporters.
"He will be terrific, I'm sure. And the supporters will absolutely love him."