The former AC Milan and Italian national team defender believes the club's current coach is very similar to his successful predecessors Fabio Capello and Carlo Ancelotti
The club's 0-0 away draw with Roma on Sunday awarded Milan the Serie A title, Allegri bringing the trophy to San Siro for the first time in seven seasons. The tactician is currently in his first season as Milan coach with Baresi keen to praise his impressive efforts.
"Max [Massimiliano Allegri] is a mox between Carlo Ancelotti and Fabio Capello," the former player told Sky Sports.
"He's made a great start to his adventure at Milan, creating a base to become competitive in European competition too."
Baresi has been particularly impressed with how Allegri has managed the whole Milan squad.
"At the start we were all curious to see his value and to see if he was good enough to take charge of a group of players full of talent," he added.
"He has managed to get the best out of everybody, including those who didn't play that much the season before. The important thing was the objective of winning the title - thanks to Allegri, that has happened."
Milan will arrive at San Siro to a champions' welcome on Sunday when they entertain Cagliari.