And in their penultimate match at their temporary home, the hosts were grateful to some good fortune and wayward Newcastle finishing to seal their return to Europe's premier club competition next season.
"Today I am thinking to try to enjoy what we achieve".
It was a fourth consecutive defeat for Newcastle, who secured Premier League status with a 2-1 win over Arsenal last month.
Pierre-Emerick Aubameyang did level but Vardy's spot-kick and Riyad Mahrez's late goal settled the game - leaving the Gunners with the same away record as relegated West Brom ahead of Sunday's trip to Huddersfield.
Spurs have effectively had a season's worth of away games, owing to playing their home fixtures at the national stadium while their White Hart Lane stadium is redeveloped.
"I hope fitness is not a big issue, and he can be ready and fit to play at the World Cup".
"We play a team that were playing for nothing and so deep and sometimes it is hard to have patience to play and build and to try to win".
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He believes it has been a huge achievement for Spurs and he is looking forward to their move to the new stadium next season.
Despite undoubted progress in Pochettino's four years in charge, Spurs have still yet to win a trophy under the Argentine.
However, Huddersfield held on desperately in the final half hour to secure the vital point that guaranteed survival on their return to the top flight for the first time in 45 years.
Newcastle created the better chances before the break, but they were denied by the post and Hugo Lloris.
Kane struck in the 50th minute to claim all three points for Tottenham, lifting them into third place.
After a poor first half, Kane bagged the opener as he played a good give and go with Heung-Min Son before picking the ball up inside the box and lashing it into the top-right corner.
The France worldwide was the subject of plenty of praise on social media for his display, helping to ensure Tottenham would be heading into their third successive Champions League tournament.
'There were two decisions, two penalties that were clear but not given, but still we had enough chances to score.