Vialli, who played for both clubs, has said that Conte's talents as a coach mean he will be wanted by most sides in Europe, including the Blues.
"Conte is probably top of their list, but I would amazed if he would leave
Turin," Vialli told Sky Sport Italia.
"I think he wants to stay at Juventus for at least another year, then something might happen. Chelsea need a talented and winning manager.
"I think it is absolutely normal that he is courted by the most important clubs in Europe."
Conte was banned for four months for his part in a match-fixing scandal last year.