Despite earning a victory over his former club and making it three games without conceding, Allegri believes that his current side are yet to show their best form this term.
"There's still a long way to go but my players have shown maturity," he told Gazzetta dello Sport. "Our positive start has been deserved by my players. They are doing a great job on the pitch. When you have talented players as I do, everything is easier. However, we still have room for improvement."
Juventus continue the defence of their Serie A title on Wednesday when they host Cesena.