That track record saw him lined up as a possible replacement for compatriot Antonio Conte at Stamford Bridge, after the former Juve boss suffered a difficult second term with the Premier League side.
But after meeting with Napoli president Aurelio De Laurentiis on Wednesday, Sarri is ready to extend his tenure at San Paolo and turn down his suitors.
The meeting, Goal understands, was entirely positive, and will be followed by a second summit later this week to confirm a new contract for the trainer.
Sarri is expected to extend his link until 2021, boosting his wages from €1.5 million ($1.8m) to €4m ($4.7m) a year.
Napoli, however, will not impose a release clause for clubs keen to poach the 59-year-old, who was born and raised in Naples and prior to taking the job at San Paolo coached at the likes of Pescara, Perugia and Empoli.