The French teenager also claimed the winning goal at Stadio delle Alpi to keep Juve top of Serie A.
However, the former Manchester United youngster is keeping his feet firmly on the ground.
"I still need to improve, and I'm reminded of this by the backroom staff," said Pogba. "We'll enjoy the success and think about Inter tomorrow.
"I like scoring and always looked to get forward when I was at Manchester United. I'm very happy as I scored the winning goal, but I need to look ahead."
Antonio Conte's side play second-placed Inter at the weekend.