The successful coach has laughed off suggestions that the Old Lady can challenge the European top next season
The Turin giants failed to get out of the group stages in 2013-14 after they were eliminated in the quarter-finals the previous season and Conte feels it will be a while before they are ready to challenge for the European title again.
"Winning the Champions League? I am not joking anyone. I respect the fans," Conte told reporters.
"If you ask me whether Juventus can win the Champions League again at some point, I will say yes. But if you ask me whether the current Juventus can win it, I'm afraid I have to say no.
"Do you have to dream about something before being able to realise it? I would like to win everything, including the Champions League. I still have an entire career ahead of me.
"We must work hard. It's important to wake up and see the reality rather than dream. You have to understand that it's not easy to win the Champions League."
Juventus last won the Champions League in 1996, when they beat Ajax on penalties.