The Portuguese was in high spirits following a dramatic 2-1 victory for his side in Turin and revelled in making the home support aware of who had emerged victorious, as he cupped his ear towards the stands.
His actions once again proved divisive, with former United favourites Paul Scholes and Gary Neville offer contrasting opinions on his antics, and a number of Juve players confronted him at the time.
Argentina international Dybala was among those to approach the United boss, along with Leonardo Bonucci, but he insists there was no war of words between the pair.
He told Sky Sport Italia: “I just told him that there was no need to make that gesture.
“There was no need to create more tension than there already was, sometimes you get insulted and it’s bad, but to create more tension than there already is…
“I told him there was no need, I didn’t insult him. I just told him that and left.”
Dybala had drawn a blank against United before Mourinho took centre stage, having previously netted the winner against the Red Devils in an initial European clash between two heavyweight outfits at Old Trafford.
Cristiano Ronaldo recorded Juve’s solitary effort in their most recent outing, with the Portuguese disappointed to end up on the losing side against his former employers.
The five-time Ballon d’Or winner has starred for the Bianconeri after making a slow start to a spell in Italy and Dybala believes he can thrive alongside a modern day legend, if Massimiliano Allegri gives him the chance.
He added: “The boss has given us a little more freedom to move around and I think that way we can do more damage to our opponents.
“Cristiano Ronaldo is a player who moves to the left more, but he moves around a lot and in fact the goal I scored in Manchester came from his cross from the right.
“When Mario [Mandzukic] plays he’s more of a reference point, and then there’s also Douglas and [Federico] Bernardeschi, so we have a lot of options in attack.
“I think the coach definitely finds it difficult to put all of us in, because we’re playing really well and there’s a really good level in attack. I don’t think it’s easy for him.”