They do have a game in hand over 3rd placed Liverpool just one point ahead of them though, and with home matches against Newcastle and Leicester to end the season, their fate is very much in their own hands.
"It will be another massive challenge because it will be the same as playing in Wembley". But you need to build.
Despite undoubted progress in Pochettino's four years in charge, Spurs have still yet to win a trophy under the Argentine.
The stakes have suddenly been raised for Tottenham, who looked home and dry in a top four spot before a recent turn of events.
"We were everything but a Premier League club last summer, but we have given it a go".
And with Chelsea failing to win it sealed a place in Europe's premier competition without the need for final day jitters.
Having said that, we can cling onto the fact that Newcastle won their last three matches at White Hart Lane.
At least 20 people are dead after dam bursts in Kenya
Nakuru governor Lee Kinyanjui said: "We will do our best to take affected families to safety and help them get medical attention". After a severe drought, weeks of torrential rains in Kenya have led to flooding and mudslides that have left 159 dead.
Spurs capitalised on Chelsea's slip-up to ensure they will have Champions League football for a third consecutive campaign when they move into a new 62,000 capacity stadium next season. It's a bit disappointing because we could have managed the end of the season in a better way.
Fans were disappointed with the result, although a number of them took to Twitter to slate the performance of Dwight Gayle.
"This group have the experience to make it feel like home".
Kane hasn't been at his best since returning from ankle ligament damage last month that kept him sidelined for three weeks.
Spurs came out in the second half firing and they were rewarded nearly immediately when Kane put them ahead within five minutes.
As so often this season, Heung-Min Son was the provider, finding Kane on the edge of the area and the forward fired into the top corner five minutes into the second half.
Spurs, meanwhile, have leapfrogged Liverpool into third in the table and can not finish lower than fourth, which will come as a huge relief to the supporters who have seen their side's form and confidence crumble towards the end of the season.