The Sun says Sarri could be the man replacing Antonio Conte come the end of the season.
Chelsea are said to have already opened talks with Sarri's representatives, but the Italian tactician is sure to be offered improved terms to keep him in Naples.
Napoli big-wig De Laurentiis told Corriere dello Sport: “Sarri is a wonderful person and a great coach. I am not worried that anyone will take him away because whoever wants him has to put £7m on the table.
“However, I would like to remove this clause and when we meet this month I will tell him. Maurizio has ethics. He was born in Naples and has returned to win. I don't consider this experience as a stage in his career. I adore Sarri – for me he is the best in the world.
“I wish and hope he will be our coach for a long time. He speaks only about preparing for a game. He is like a 20-year-old who is always growing and evolving. He has a lot of improving to do."