Conte made nearly 300 appearances for the Bianconeri between 1992 and 2004.
“Taking the Juventus hot seat is one of my dreams,” Conte said in Tuttosport.
“My objective is to prove that I deserve to lead such a great team and if the chance came along I would certainly seize it.
“However, at the moment I am not ruling out other scenarios. I am focused on Bari – they come first.
“We are working hard to make our dreams come true at the Stadio San Nicola.
“We have slowly started to realise that we could do something great and give joy to the marvellous fans.”