Spurs were staring down the barrel of a damaging defeat at the Liberty Stadium with two minutes remaining, having fallen behind to Wayne Routledge's opener.
But Mauricio Pochettino's side mounted a stunning comeback with Dele Alli, Heung-min Son and Eriksen all on target during the closing stages.
The victory, coupled with Chelsea's win over Manchester City, means the north Londoners stay within seven points of their capital rivals.
And Eriksen is adamant belief was key to keeping their slender hopes of catching Antonio Conte's side alive.
"We're very high on belief. We made it very difficult for ourselves but luckily we did turn it around in the final nine minutes," he told Sky Sports.
"Yeah - of course," Eriksen said when asked if defeat would have ended Tottenham's title hopes.
"It would have been very different. With 10 points and eight games it would have been very difficult."
Meanwhile, Pochettino was delighted with his side's late show but admitted some of his players were guilty of assuming they would make light work of Paul Clement's relegation threatened team.
"We maybe feel that the game is going to be easy," said the Argentine coach.
"They started to play in a low tempo. When we conceded we realised we needed to improve our level."