Agnelli says he's spoken extensively with Conte since they were confirmed champions.
"The 'next' meeting was last week," the Bianconeri President told Sky Sport Italia. "Antonio came to my house and we spoke for a couple of hours.
"Antonio has had two particularly intense years: The first when he left Siena and dedicated himself completely to every aspect of Juventus, and last year, including his rather difficult and unpleasant summer.
"Although we had gone undefeated and won the League, he had also ended up in the clutches of the calcioscommesse legal proceedings. He's not had a break for two years and, in my opinion, a week off to relax would do him good.
"Antonio knows the expectations at Juventus and knows perfectly well that although winning seems normal again, that's not the case.
"We discussed his own expectations and he wanted to go over with me what he required in order to continue on this journey, asking me for guarantees, but you can't give guarantees to anyone.
"I would like the guarantee of winning the Champions League next year, but there are no guarantees. I reassured him: The ambition of the club, my personal ambition and his own, is to win."