In recent weeks, there have been mutterings that the Blues' season could be a repeat of the campaign that ended Jose Mourinho's spell at Stamford Bridge.
However, following a convincing 3-0 victory over West Bromwich Albion on Monday night, Sutton believes that the team remains united.
"If Chelsea beat Manchester United in their next league game they will go level on points. They had the match winner in Eden Hazard. It was all about the performance and result and Antonio Conte got it from his team," Sutton told BBC Radio 5 live.
"Had Chelsea not won this game the future of Conte would be questioned again. You hear the Chelsea fans, they back their manager and so they should. The players are still with him. You could see that in the performance."
Hazard scored twice, while Victor Moses also got on the scoresheet.