Both games are certain to take a lot out of Conte's players, who are chasing a Serie A and European double, before a demanding league game at Roma completes a hectic week.
The Juve boss told Gazzetta.it: "We'll make sure we don't lose any sleep because we have to go again at Roma on Saturday.
"Normally they would have let us play that game on Sunday night or even on Monday. What's the rush to play another league game?
"I don't want to be controversial, it just worries me that we will play three games in seven days."