The Italian, who has taken the Blues to the brink of Premier League glory in his first season in England, is said to be a target for Inter Milan.
"I hope to stay for a long time here," Conte told Sky Sports News. "Coaching is not an easy job and a lot depends on the results.
"I like to think results are important, but they are not everything. I think for every coach our work is important every day and then to be judged.
"During the game I think I show my passion and my will to not lose. I don't want to lose. I love football and I think people understand my passion. It's great to know that Chelsea fans are happy with me."
Conte has also guided an unfancied Italy team to the quarter-finals of Euro 2016, having previously led Juventus to three Serie A titles in a row.