The Blues suffered their heaviest defeat in 28 years on the Etihad the day gone by, leaving the Italian at the breaking point.
Sergio Aguero scored a hat-trick as Chelsea suffered a humiliating 6-Zero to Premier League leaders Manchester Town.
Sarri has publicly accused his avid gamers of being arduous to inspire in contemporary weeks.
Chelsea’s earlier away recreation led to a 4-Zero opposite in opposition to Bournemouth, and then Sarri locked his avid gamers within the dressing room for 45 mins.
And after being blown away so comprehensively via a staff they beat previous within the season, Neville thinks the tip may well be nigh for the 60-year-old.
“He’s were given 4 massive fits,” Neville informed the Gary Neville Podcast. “The noises haven’t been excellent now for 4 to 6 weeks.
“The interviews have informed a tale. There’s one thing occurring in the back of the scenes.
“If it’s popping out in public you’ll be able to consider that in the back of the scenes it’s so much worse.
“For a supervisor to talk in the best way he has I feel would display that issues in the back of the scenes aren’t excellent.
“I feel Chelsea are the kind of membership that are greater than able to finishing this the following day [Monday] and pronouncing, ‘If truth be told, it would motive us a larger drawback if he beats Manchester United, if he wins the Carabao Cup ultimate as a result of we’re in a scenario the place the avid gamers have raised their recreation…’
“And those avid gamers are able to turning this round, able to beating United, they’ve were given the standard however it’s determined.
“It wouldn’t wonder you if the following day [Sarri was sacked] – and I am hoping it doesn’t occur, the speculation of Sarri shedding his activity after six months is ridiculous with the truth he’s accomplished what he’s accomplished.”
Chelsea sliped in the back of opponents Arsenal and Manchester United to 6th position within the wake of the beating.
After the defeat, Sarri admitted: “It’s proper. I’m accountable for the staff so it’s proper, my activity is at all times in peril.
“Nowadays I’m really not in a position to provide an explanation for. We had been in hassle. I’m really not in a position to grasp.
“I’m fearful about my staff and the efficiency. Nowadays now we have a large drawback away.”