Napoli have demanded that any club looking to hire Sarri must pay his almost £7 million release clause, something which the club's president Aurelio De Laurentiis stated recently is yet to happen.
Despite Sarri's success, Napoli have already announced that former Blues boss Carlo Ancelotti will become their new manager.
The 59-year-old still has two years remaining on his contract, but the clause helps Chelsea as Napoli president Aurelio De Laurentiis could request any fee after it expires.
Chelsea director Marina Granovskaia held a meeting with Blanc recently and discussed the possibility of the World Cup victor taking the reins at Stamford Bridge.
According to Italian daily Corriere dello Sport, Chelsea are prepared to activate the €110m release clause in his contract and snare him away from the San Siro in the ongoing window.More news: Zinedine Zidane resigns as Real Madrid manager
Metro says that decision "will be made in the next week" with Chelsea expected to part company with their Italian manager.
Sarri has been linked with a move to Chelsea, with Sky in Italy reporting that the Stamford Bridge club have a general agreement with him via his representatives to succeed Antonio Conte if he leaves his role as manager.
Chelsea are working independently on their summer transfer targets, but appoitning a new manager is now the top priority at the club.
"I would love to see Sarri in the Premier League", the Spaniard told Tuttosport.
Chelsea missed out on Champions League football, but did end a disappointing campaign on a high by beating Manchester United in the FA Cup final.