The 26-year-old made 21 appearances for the Blues during the 2019-20 campaign but lost his regular spot in Frank Lampard's first XI in the early stages of 2020.
The Italy international has been strongly linked with a move to Inter in recent months, with Chelsea expected to sign a new left-back before the window closes on October 5.
According to Calciomercato, Emerson has already agreed personal terms with Inter, who must now settle on a transfer fee with the Blues, which could be as much as £23m.
The report claims that the defender is likely to pen a five-year deal at San Siro should he arrive.
Inter are bidding to win the Europa League this season and will take on Shakhtar Donetsk in the semi-finals of the competition on Monday night.