The Italian head coach led the Blues to the Premier League title with two games to spare last season following his appointment.
Chelsea FC were hoping to defend their Premier League crown for the first time since 2006 but the west London side have fallen short.
Indeed, the Blues lost 3-1 to Tottenham Hotspur at Stamford Bridge on Sunday evening to suffer their ninth defeat of the campaign.
The defending Premier League champions are 28 points behind runaway leaders Manchester City with seven games to spare.
Conte spoke about his desire to avoid “a Mourinho season” after the Blues finished in tenth place one season after winning the title.
Former Chelsea FC striker Sutton believes Conte is set to leave the title holders at the end of the season.
“I have sympathy for the Italian,” Sutton told the Daily Mail.
“He is an infectious character and the Chelsea fans have stuck by him. He is a proud man and, while a top four spot looks almost impossible now, the FA Cup presents an opportunity to go out on a high.
“But what will be most worrying for Conte was his team’s lack of fight.
“When Chelsea have had their backs to the wall, such as against Barcelona in the Champions League, they have still had a bit about them.
“To lose in this manner against Tottenham suggests that Conte’s era is coming to a disappointing end.
“Conte said he did not want a ‘Mourinho season’. He is not far off.”
Chelsea FC can still finish the season with some silverware if the Blues manage to beat Southampton in the FA Cup semi-final.
The west London side were 2-1 extra-time winners against Leicester City in the FA Cup quarter-final at the King Power Stadium.
The Blues signed Everton star Ross Barkley, AS Roma defender Emerson Palmieri and Arsenal striker Olivier Giroud in January.
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