However, terms between the two clubs is yet to be settled.
La Gazzetta dello Sport says Kepa has already said yes and is pushing to go to Napoli, but the Italian club must raise the offer made to Chelsea for the straight loan arrangement.
Kepa’s salary would be largely covered by the Blues.
The alternative is Keylor Navas of PSG, coach Luciano Spalletti’s favourite but also the most difficult to sign.
The Partenopei are desperately searching for a new goalkeeper as the Serie A season rapidly approaches, with Luciano Spalletti being left with limited options. David Ospina left the club on a free transfer last month and Alex Meret is on the verge of completing a loan move to Spezia, leaving them without an option between the sticks.