The BBC reported that Liverpool were close to signing the Italian forward and that a fee in the region of between £8m-£11m had been agreed between the clubs.
The 21-year-old Italy international worked with Rodgers at the Chelsea academy and on loan at Swansea.
On Monday Rodgers had stated in front of the press 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 said.
Source: DSG