The former Georgia defender believes that two seasons without a trophy means AC Milan are right to consider a replacement head coach
A stunning resurgence in form in 2013 saw the Rossoneri seal a return to the Champions League on the final day of the season, but Allegri's future has still been called into question, with the likes of Frank Rijkaard linked to the post of late.
Kaladze, who played 264 times for the Rossoneri in 10 years at the club, believes Allegri would only have himself to blame if he becomes the latest coaching head to roll in Serie A due to the sheer weight of expectation at San Siro.
"I do not know how things will go in the end," the former defender stressed to Tuttosport.
"I haven't spoken to [CEO Adriano] Galliani. But since I know Milan, I say that no-one will be surprised by the situation. It is in the DNA of this club always to win.
"Allegri over the last two years has not won anything, so it is natural to think that the president might replace him.
"I'm not saying he's done wrong. But this is Milan. If you do not win for two years in a row, it necessarily puts things into question."
A last-gasp 2-1 win over Siena saw Allegri's side secure the final Champions League spot at the expense of Fiorentina on the last day of the season, and Kaladze admits he shared the angst of Rossoneri supporters when watching the action unfold.
"I suffered at home with friends watching the final game of the season against Siena," the former Georgia international added.
"But then, in the end, there was incredible joy. It is important to play in the Champions League. I still feel like a milanista."
Kaladze, 35, is currently serving as Georgia's Minister of Energy in Prime Minister Bidzina Ivanishvili's cabinet after embarking on a career in politics.