Chiellini responded to criticism of Juventus' defence, which has already conceded nine goals this season.
"We let in too many goals, but only because we have changed a lot, both players and coaches, and we need to adapt to the new tactics," he said.
"All the mister's teams needed a little time at the beginning. We'll also manage it step by step. I soon hope to be able to celebrate a few 1-0s.
"If Inter and Milan keep going straight with any dips, we'll have little to do in the title race, but if they have a dip, we must be good enough to profit from it.
"Our objective is to qualify for the Champions League, it's too important for us.
"I hope to win the Scudetto, but if I weren't to do it, I hope Allegri does as he is from Livorno like me. I have known him for years. He is a great person."