The Bianconeri face Atalanta on Monday night but retained their league crown without kicking a ball thanks to Roma's shock 4-1 defeat to Catania.
Should Juve win all of their remaining three games they will end the season on 102 points, surpassing the current record of 97 set by Inter in 2007.
Chiellini told Mediaset Premium: "We've done amazingly well. We aim to exceed 100 points and get into the history of Italian football.
"We must thank Roma who forced us to give more than 100%. This third title is the reward for the years where we did not win anything.
"This group is growing and we want to write new pages in the history of this club."