The 27-year-old believes that the Italian champions have a host of great players and that Antonio Conte's men would be unwise to switch off due to the Swede's absence
The Swede picked up a red card during his side's 0-0 draw with Napoli earlier this month for a slap on Salvatore Aronica and was consequently handed a three-game league ban.
It was confirmed on Thursday that Ibrahimovic's appeal to shortened the suspension was overturned and he will miss the clash against his old club, but Chiellini does not think that this will allow his Bianconeri side to relax.
"Milan have so many champions in their squad," the 27-year-old defender told Sky Sport Italia. "Therefore I don't think too much will change for them even with Ibra absent.
"They have already shown that they can deal with his absence in these last few games. Whoever replaces him will be even hungrier to prove their worth."
Milan can take a four-point lead at the top of Serie A with a victory at San Siro over Juventus, who have, however, played a game less than Massimiliano Allegri's men.