The coach has been handed a championship-winning side following Antonio Conte's resignation and he hopes to begin with a victory against Chievo this weekend.
Juve gets its season under way at Chievo, which crashed out of the Coppa Italia at the hands of Serie B side Pescara last week, but Allegri has warned his players to expect a tough encounter.
“We're ready to go and will play with great concentration and attention," he told reporters. "It's not an easy one because Chievo have many new faces. They will look to bounce back from their Coppa Italia elimination and cause us problems.MORE: Alex Morgan upset at 159-degree temps | Transfer photos
"It's a tricky encounter at a ground where getting a result is never easy. We need to be on our game for 95 minutes."
Allegri succeeded Antonio Conte, who has since assumed the reins of the Italian national team, and says he found Juventus in good order upon his arrival and insists Serie A is not a two-horse race between his team and Roma.
"I've come into an environment with rules, discipline and a strong work ethic," he continued. "I'm very happy about that.
"Juve and Roma aren't the only contenders - Inter, Napoli, Fiorentina, AC Milan and Lazio will also be in the chasing pack."