The Italian signed a new contract in the summer, but didn't agree an extension as expected so it still expires in 2019. After their recent problems, he has been installed as the favourite top-flight manager to be sacked.
Conte, who officially took over 13 months ago, is fully aware of Chelsea's hiring and firing record, but said: "I want to break this bad record. I must be positive.
"When you start a job with a new club, I hope to stay in this club for many years. It means you have the possibility to work with the same players, to improve these players and years by years."