The 26-year-old Uruguay international, who is also a target for Real Madrid and Manchester City, has long been linked with a transfer to Stamford Bridge.
And it appears that the forward is now all set for a move to west London following months of speculation over his future.
A statement late on Monday evening on Radio Marte announced: “We have received news in the office from a very reliable source that Napoli have sealed a deal with Chelsea for Cavani’s sale.
“Rafael Benítez also gave the all-clear, but before making the move official Napoli want to secure the striker who will replace Il Matador.
“[Napoli president] Aurelio De Laurentiis’ club will pick up around €58m, a slight discount on the buy-out clause, which is the same situation as Ezequiel Lavezzi to PSG last year.
“The player will earn €8.5m per season plus image rights.”
Cavani, who has 49 caps for Uruguay, scored 29 goals in 35 Serie A appearances last season.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news