The Argentina international had caught the attention of a number of a clubs after a stellar 2014-15 campaign with Palermo, with both Inter and Juve keen to sign him.
Inter coach Roberto Mancini even called Dybala to discuss a potential move, but the forward says he was quick to make it clear he was not interested in a transfer to San Siro.
"Before joining Juventus I had a talk with Mancini," the 22-year-old was quoted as saying by Corriere dello Sport.
"I thanked him for his call, but I always wanted to join Juventus because they are the stronger team."
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A move to Inter would have seen Dybala link up with compatriot Mauro Icardi, whom he believes is quite similar to Juventus team-mate Mario Mandzukic.
"Mauro is a striker who is at his best inside the area," added Dybala.
"I am more of a support striker. Mauro is a bit like Mandzukic. They have the same role.
"He is doing well and I am happy for him because he is also an Argentine. Maybe we will play together for Argentina one day."