Details of the deal made available by Sky Sports’ Gianluca Di Marzio said that the Senegal international will earn £160,000-a-week at Stamford Bridge, in addition to various performance related bonuses.
Di Marzio also claimed that the Africa Cup of Nations winner will sign a five-year deal – though the fifth year may only be an option.
The deal could be sealed up very quickly after the player agreed personal terms on a mammoth contract.
The Blues will sign the 31-year-old for a fee around £33.8million.
Di Marzio reports that talks are progressing at such speed that a deal could be completed and signed in a matter of just a few hours.
Napoli are ready to shake hands on a deal worth €38m (£32.1m) – which will be paid in two installments – in addition to a further €2m (£1.7m) in bonuses.
Talks between Chelsea and Koulibaly – who only has one year left on his deal with the Italian club – have also progressed quickly, with the defender having verbally agreed personal terms too.
The deal is advanced enough that Koulibaly may not return to Napoli’s pre-season camp in Val di Sole, having been permitted to meet with his agent