But he concedes a deal is unlikely.
“There's a lot of speculation," Conte said in his Press conference ahead of the Arsenal game.
“But it's normal when the transfer window starts. It's a difficult moment for any Coach and any club because you have to face a lot of speculation, and for sure some speculation, yeah it could be true.
“For others it's only speculation. For us I think that in this period we must be very, very focused on our target and tomorrow we have a game against Arsenal, and we need to find the right concentration [for that].
“For the transfer market there is the club to try to do the best for the team.
“Will we get Chiellini? No, no I must be honest. Giorgio is a fantastic player but I think he wants to finish his career at Juventus and I think it's right to finish his career in this way."