Spurs tightened their grip on second place as they edged past Everton at White Hart Lane this afternoon courtesy of a 3-2 scoreline.
Harry Kane's brace put the hosts in control but Romelu Lukaku gave the Toffees a lifeline when he capitalised on Jan Vertonghen's slip.
Dele Alli headed home in injury time but there was still time for Enner Valencia's effort to set up a frantic final few minutes.
Spurs stood firm to secure yet another victory one home turf, with Pochettino's side now just seven points adrift of pacesetters Chelsea.
"The most important is to show that we believe and today we showed that more than talk or speak," the Argentine coach insisted.
"It's better that the team showed that performance because they believe We need to be there. It's not up to us, of course, but it's up to us to be there if they [Chelsea] fail.
"The gap is seven points. I'd like to be close than seven points but if you keep going in that way maybe we will achieve.
"It's up to us to keep our form and be a little bit lucky if Chelsea fail."
Chelsea face West Ham at the London Stadium on Monday night and victory will see the west Londoners restore their 10-point lead at the top.
The Blues remain in the driving seat ahead of the run-in but Spurs seem to be intent to keep up the pressure on their rivals until mathematics say Antonio Conte's side cannot be caught.
Meanwhile, Everton manager Ronald Koeman was impressed with Tottenham during today's game but does not believe Pochettino's side will be able to overturn Chelsea's advantage between now and the ed of the season.