Coach Mauricio Pochettino’s Spurs scored three times in an astonishing final six minutes at the Liberty Stadium.
Dele Alli, Heung-Min Son and Christian Eriksen’s goals in the 88th, 91st and 94th minutes came after Wayne Routledge’s first-half opener, with boss Pochettino saying: “It happened because we believed, and never gave up.”
Spurs were champions Leicester’s closest challengers last term before fading in the final weeks of the campaign.
They eventually finished third with Arsenal beating them to second place on the final day – but Pochettino feels his side have learned from that bitter experience.
He adds: “It’s important to show that we’ve learned from last season and that is a good thing. Maybe that is a game we would've lost last season.”
Asked if he believed if Spurs could catch Chelsea, the boss says: “I believe that we can win every game if we play like today – and then we’ll see.
“It’s important to go game by game and be focusing on our opponent, and on ourselves.
“It was a massive moment [when Son scored to put Spurs 2-1 ahead] because how we turned it around was unbelievable.
“We’re still pushing, believing, pressuring the opponent [Chelsea].
The former Argentina international adds: “It means a lot. We realised the three points would be fantastic for us.
“From the touchline, you must translate confidence, trust and belief.”