Allegri feels that the newly crowned 2011 Club World Cup champions are unique, but added that Milan have plenty of quality as well and can compete in their own way.
"It is impossible to copy Barcelona. We have a squad with lots of great players and real champions. We are top class in Italy and I believe that we can do well in the Champions League too, with different characteristics to Barcelona," Allegri said to Domenica Sportiva.
"The things that they are doing are unique and can't be copied. Arrigo Sacchi's Milan have players and characteristics that others didn't have. Every coach has to play in a way that gets the best out of the player at his availability."
Allegri also praised Sacchi for introducing young players into the senior side, and believes his current outfit are on the right path to doing the same.
"Sacchi's Milan were a very strong team, but did not only consist of big names, but also had plenty of youth products," he said.
"We are doing some great work in our youth academy. We are incorporating more and more young players into the first team."
Youngsters such as Simone Ganz, Bryan Cristante and Mattia De Sciglio have all made their debuts with the senior side this term.
How do you stay up to date with football when on the move? With http://m.goal.com – your best source for mobile coverage of the beautiful game.