The former United assistant believes Pochettino won't let the talk get to his head.
It has also caught the eye of potential suitors, with Manchester United continually linked with the Argentine.
The Sun are one of many press sources to recently report that Poch is on the shortlist to eventually replace Louis van Gaal at Old Trafford along with former Chelsea boss Jose Mourinho.
That speculation will not distract him, according to former United assistant Steve Round.
“There is always speculation, continued speculation wherever you are now whatever your job is.
“I mean the media put that out day-in-day-out. It’s a story. It’s a story within a story, always.
“You don’t let it bother you. You continue and do your job as you can.
“I mean my last three months at United I never read a paper or looked at TV so you tend to try and stay away from it and stay focused on the game at hand.”
Round of course knows a thing or two about whether the grass is greener at Old Trafford. He followed David Moyes to United from Everton in 2013 but lasted less than a year, getting the boot as Moyes’ head rolled.
Pochettino is in a slightly better position.
Right now the future looks brighter at Tottenham than it does at United with better young players and a higher league position – not to mention the build of a new stadium.
So perhaps Pochettino should do what Moyes didn’t and ignore any interest from United.