Fabregas appeared to confirm he felt that way by liking a tweet which was celebrating the news that Conte had been sacked by the club.
Despite Grassani's claims of movement being made, there is every chance Conte could remain Chelsea boss for the final year of his contract.
That ultimately convinced Chelsea that the club could not risk the squad imploding over the next 12 months and work has been going on behind the scenes to secure Conte's replacement.
But De Laurentiis has suggested that talks are now close to bearing fruit regarding an agreement for Sarri to be appointed by Chelsea.
A remarkable expenditure for sacking a series of hugely successful coaches, most of whom brought trophies to the club in what time they were afforded.
The Russian's visa issues, the indefinite halting of plans to rebuild Stamford Bridge and the challenge for consistent on-field success all point to hard times ahead.
Italy global Jorginho has been a reported midfield target for Premier League champions City throughout the transfer window and was thought to be close to sealing a move to the Etihad Stadium.
Chelsea are set to officially announce the departure of Antonio Conte after a successful two years in charge.
Abramovich is understood to have convened a meeting in Capri earlier this week with Napoli counterpart Aurelio De Laurentiis to go over the finer details of Sarri's appointment.