The fearless France international says he is not remotely frightened by the prospect of having to pick up points from their double-header with los Blancos
The Bianconeri have drawn their opening two games in Group B, against Copenhagen and Galatasaray, meaning they must pick up points in their double-header against los Blancos if they are to have a real chance of progressing to the knockout stages.
On paper, it looks like a daunting task, but Pogba is not in the least bit perturbed by the prospect of first travelling to the Santiago Bernabeu on October 23 in search of a positive result.
"There's nothing to fear," the 20-year-old France international told Gazzetta dello Sport. "We will beat Real at least once and we will go forward.
"We are Juve; we must never forget that. Because of the history, prestige and quality of this club, we are inferior to no-one.
"And for this reason, Real Madrid do not scare me. Juventus is on the same level of all the European greats.
"We can even win in Madrid."
Just over a year after leaving Manchester United for Juventus, Pogba has established himself as one of the most exciting young midfielders in the game.
However, he says all the praise he is currently receiving will not go to his head, as he has two perfect role models at Juventus in Andrea Pirlo and Gianluigi Buffon.
"I'm still nobody; What have I done? Nothing at all," the France international reasoned.
"I look at Pirlo and Buffon, and I learn about what it is to be a true champion.
"Those two have won it all, they are monsters, but they do not give an inch - not even in training."
Even though he only arrived in Turin last summer, there has been speculation that Pogba could soon be lured away by another member of Europe's elite, with even Madrid mentioned as a possible destination.
The Under-20 World Cup winner freely admits that he does not know what the future holds for him, but is still keen to reassure Juventus fan that he is loving life in Italy.
"Certain promises are meaningless," Pogba mused. "How can someone today make an hypothesis on an entire career? I don't take anyone for a ride.
"And so, I look at the present and I say that I 'm happy here in Turin.
"I love everything about this club: directors, coaches , team-mates and fans. And, at the moment, I do not see anywhere else other than Juventus."
Pogba is currently away on international duty with France.