The France international has consistently impressed since joining Juventus from Manchester United in 2012 and he caught the eye again in the weekend's win over Napoli.
Speculation has claimed that Real have made an enquiry regarding the 20-year-old, who has also been linked with the likes of Bayern Munich, Chelsea and Paris Saint-Germain.
However, Pogba is not being distracted by the rumours, or the talk that he is in line for a new contract with the Italian champions.
"I don't think about all that," Pogba is quoted by L'Equipe in response to the latest rumours of interest from Real.
"I am only thinking about the pitch and achieving good things. I don't know anything about what happens behind the scenes."
Speaking last month, Juventus' director general Beppe Marotta confirmed the club's intention to reward Pogba with a pay rise.
Pogba's current deal expires in 2016 and Marotta is confident that the midfielder is not looking to leave Juventus.
"Pogba is happy at Juventus and he has no intention of leaving," Marotta told Sky Sport Italia.
"We will soon meet with the Frenchman's agents to extend our agreement and, at the same time, give him a pay rise for the growth he has shown."