Pochettino, who has a year left to run on his Saints deal, said that he plans to remain in English football, but did not say whether that was at Southampton or Spurs.
"In football I am very much accustomed to living with these rumours," he told BBC Sport. "I have been living with and hearing these rumours all my life, firstly as a player and then as a manager. I am just calm. I am not reacting to these rumours.
"I am fully focused on the job ahead. My job ahead is these last five games of the season with Southampton to try and get as many points as we can.
"Tottenham still have a manager, I still have one more year on my contract, I don't talk about rumours and I'm focused on this job."
Southampton are eighth in the Premier League with five games to play.