"It's still a long journey, Inter and Juve are doing well but we'll see game after game", he added.
The Argentine left the pitch ten minutes from the end to a standing ovation at the Mapei Stadium following a masterclass performance by the 23-year-old, who has now scored eight goals in four league games.
Dybala's first goal came on 16 minutes, with the Argentinean attacker producing a magnificent first-time curling shot.
"At the back we just need to get all the cogs working but at this point last season we'd conceded four goals in the league when we've only conceded three this time around".
And Allegri believes that Dybala has not yet reached his full potential."He is improving in all aspects of the game".
"He (Dybala) is very young and has much room for improvement".More news: Google launches UPI-based Tez payments app in India
Allegri said, "He doesn't need a reaction, he just has to play the way he knows how".
Former Blackburn striker Nikola Kalinic scored twice as AC Milan edged past Udinese 2-1.
The champions ended Sociedad's unbeaten start to the season and moved up to fourth place, cutting table-topping Barcelona's lead on them to four points.
The Argentina worldwide marked his 100th game for the club with his second treble of the campaign, opening the scoring in the first half before bagging another two after the break.
Cagliari won 2-0 at promoted SPAL and Torino were held 2-2 at home by Sampdoria.