Speaking to Mediaset Premium, Allegri said: "Dybala is improving a great deal and has everything it takes to become, along with Neymar after Cristiano Ronaldo and Leo Messi, one of the best players in the world".
Dybala has scored seven goals in four games in the early part of the season.
Next up is Tuesday's Champions League showdown with Barcelona at Camp Nou and Allegri knows his side must improve defensively. Some fine work from second-half substitute Federico Bernardeschi played through Dybala and the latter skipped past a defender and slotted comfortably with his left foot past Stefano Sorrentino in the Chievo goal to make it 3-0.
This season, record Italian champions Juventus have given Dybala their coveted No.10 shirt - previously worn by the likes of Omar Sivori, Michel Platini, Roberto Baggio and Alessandro Del Piero.
Juve boss, Massimiliano Allegri, said: "Tomorrow Szczesny will play".
Allegri added: "I'm really happy with the way Howedes has integrated with everyone". "You need to do well defensively and in attack to win trophies, so we got it wrong defensively in the Champions League final with Real Madrid and that is why we lost". "We showed a lot of respect for Chievo and will show a lot of respect for Barcelona too". "Until Dybala came on Juve had no more chances than us", said coach Rolando Maran.
Goalkeeper Wojciech Szczesny made his Juventus debut, while winger Douglas Costa also got his first start.
"It's a crucial tie in that it could end up determining who tops the group".
"It wasn't easy today because we were playing with three in midfield for the first time and Pjanic in front of the defence", Juventus chief coach Massimilano Allegri was quoted as saying by his club's website.