Allegri has returned to Turin for a second stint after he left Juventus with the highest win percentage in the club's history in 2019.
Following the sacking of Andrea Pirlo after an underwhelming campaign, Allegri has been drafted back in as the Bianconeri look to regain the Scudetto crown from Inter Milan.
The 53-year-old rejected Real Madrid in favour of a return to Juve and still doesn't seem too happy with Bonucci's decision to leave for Milan four years back.
The Italian centre-back signed for the Rossoneri in a shock €42 million move and was immediately named captain by Vincenzo Montella.
He lasted just one season as the San Siro, however, and headed back to Juventus in the summer of 2018.
Bonucci was captain for large parts of last season when defensive partner and skipper Giorgio Chiellini was absent but under Allegri he won't be next in line.
"In terms of his experience at Juve, [Paulo] Dybala can be the vice-captain because Bonucci left Juventus and then returned, so he had to start from scratch. I expect a lot from Dybala, I've spoken to him and he is very motivated," Allegri said, as per Football Italia.
"The captain and vice-captain are decided depending on how long they've been playing in the team. So Chiellini is the most experienced one, followed by Dybala.
"Bonucci left for one season, he made that decision, so if he wants the captain's armband he must buy it and play with it in the street. Leo is aware of that.
"In my last season at Juventus, Mario Mandzukic and Sami Khedira wore the captain's armband, because Leo had fallen behind in the pecking order."
Watching the video from the presser, however, it is clear that there was a comedic tone to Allegri's comments.
A Scudetto winner with Milan in 2011, Allegri won five league titles and four Coppa Italias in a row during his first spell with Juventus.
He also guided the Old Lady to two Champions League finals, in 2015 and 2017 respectively.
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