Harry Kane's sweet first-time strike in the 50th minute was the difference on the night, with the striker curling one into the far corner after Heung-Min Son had laid it off for him inside the box.
"For the club it is a massive thing to go and move to the new stadium and play Champions League", the former Southampton boss added.
Frustrated fans, in their penultimate game at their temporary Wembley home, were quick to voice their displeasure at Spurs' performance.
"To finish above Arsenal and Chelsea means a lot".
But Kane proved to be their talisman once more as his 39th goal of the season just after half-time was enough to move Spurs above Liverpool into third.
The home fans' nervousness regarding their league position was clear with the groans in the first half and they also cheered loudly when the result at Stamford Bridge became clear. Eriksen has been in superb form for the hosts lately, and he was at it again, pulling a great save out of Martin Dubravka from a set piece.
Wagner delighted at stealing point from Chelsea
With the win, City reached 97 points on the season, breaking Chelsea's record from 2004-05 for the most in a Premier League season.
A promising Spurs campaign has tailed off in recent months, with Pochettino's men clinging on to their place in the Premier League's top four after crashing out of the FA Cup at the semi-final stage and the Champions League in the last 16. "Today for me one of the best was Moussa Sissoko".
Gayle was then too casual with an effort that was comfortably gathered by Lloris from Mohamed Diame's pass as Newcastle continued to find holes in the home defence before Kane's moment of anguish.
Laurent Depoitre put the Terriers ahead five minutes into the second half when he latched onto a long ball from Aaron Mooy and although he saw his first effort saved by Willy Caballero he turned the rebound into the net. Pressed in a news conference about the clubs plans during the summer, Benitez admitted that they will need to break their current transfer record to sign a new striker.
Spurs have won their past 18 home Premier League games against promoted sides since a 2-1 defeat to Norwich City in April 2012.
Rafael Benitez's team have lost each of their previous three fixtures, albeit, only by a single-goal margin, and are now limping towards the beaches of summer.
They have played this season at Wembley Stadium.
Harry Kane scored the only goal of the game to condemn Rafa Benitez's Newcastle to a fourth successive league defeat at Wembley Stadium on Wednesday.