It has recently been claimed that Aurier is on the verge of joining Spurs in a £23m deal.
Pochettino was asked about the speculation during his press conference on Friday, and the Argentine remained coy when Aurier's name was mentioned as a possible new arrival.
"We cannot confirm anything until something happens. Many, many players like always in the media. I cannot confirm anything," Pochettino told reporters.
"I never speak about rumours because of my full respect to the other clubs and the players involved in negotiations with us or with other clubs. We will see. I don't like to speak about rumours."
Aurier, 23, would need permission to work in the United Kingdom after receiving a conviction for assaulting a police officer.