The Argentine manager has made an impressive impact at St Mary's Stadium since replacing Nigel Adkins almost a year ago and the Saints sit ninth in the Premier League.
A report on an Italian website claimed Pochettino, 41, will seek pastures new when the current campaign finishes.
However, the former Espanyol boss stressed that he has no intention of leaving the south-coast club and dismissed the story as pure speculation.
He told reporters: "In Italy there is pretty much a new piece of news happening every minute, most of them are contradictory from one minute to next.
"What can I say about it? If we paid attention to every single report that came out in Italy, we would go mad.
"I can't really comment on something that is not consistent and has no solidaty to it or no base to it. I am happy here of course."
Pochettino, who was linked with the Tottenham job before Tim Sherwood was appointed, will have just a year left on his contract at the end of the season but he is in no rush to sign a new deal.
He said: "There haven't been any talks of a extension of the contract and there is no news about that. The moment that does happen I will answer questions about that."
The Southampton boss also denied that West Ham have lodged a bid for striker Rickie Lambert, while rejecting claims that Pablo Daniel Osvaldo and Luke Shaw have been the subject of offers since the transfer window opened.
"I've been here for a year and Rickie has been linked with a move many times," he added. "I am relaxed about that situation.
"We have no news on offers being made for Luke Shaw or Dani Osvaldo so there's nothing for me to comment on.
"In principle we don't have any intention to sign players this month. We still have 22 days left in the transfer window so we may change our minds but at the moment we don't have any business planned."