Tottenham's Under-23 coach and former England international died on Friday after suffering a cardiac arrest and collapsing at the club's training ground on Thursday evening.
Conte, who was speaking ahead of the London derby at Wembley, said: "I'd like to start the press conference by passing on from me and the players our condolences to Ugo's family. I think that when there is this sad news, its never good.
"I think when this type of situation happens, football is not important. It's not easy to speak about this because it hit everyone of us.
"For sure tomorrow there will be a strange atmosphere - it's a pity because he was very young, only 44.
"When this type of situation happens you start to think a lot of thing in your mind and for sure not good things. We are very sad for this.
"We can remember him tomorrow and I think it is the minimum for us, for Tottenham and the fans."