Following last month's 3-0 victory by Juve in the Round of 16 first leg, Bruno informed Conte that Neil Lennon's men like to start quickly at home as Alessandro Matri netted a very early goal to send the Italian champions on their way.
"I spoke to Antonio before the first leg. I have known him for a long time and he is a good friend," he told SunSport.
"He called me and I gave him one main piece of advice - I told him to be very wary about the start.
"Celtic always begin their home games at 100mph. They come out the traps very fast and you have to handle that.
"After a few minutes, a tough tie had become even harder for Celtic.
"To be fair to Celtic, they gave it a good go and came back at Juve.
"They showed a lot of passion and in Victor Wanyama they have a very good midfielder.
"But Juventus are the favourites for the tie and they showed why in the first leg. When it counted, they produced quality moments."