The late goal-rush was particularly cruel on Swansea, who until then had defended capably after forward Routledge scored against his former side in the 11th minute as they sought their first win over Spurs since 1982.
Janssen has still to score in open play in the Premier League for Spurs following his £18million move from AZ Alkmaar last summer, and has only five goals in all competitions.
But as they had demonstrated in their previous seven games without Kane - four wins and three draws - Spurs can cope in the striker's absence. "We can be proud of the supporters and the supporters should feel the same about the team".
Swansea weathered a storm of corners and began to go hunting for a second goal, with Kyle Naughton coming close with a shot that deflected off Ben Davies and bounced narrowly past Vorm's right-hand post.
Spurs have not claimed a title under Pochettino since he took over the reins at the club in 2014, losing in the League Cup final in 2015 and falling short in the Premier League championship race last season.
"The most important thing is that we showed faith and belief and the players deserve a lot of credit for that. Proving that you have a winning mentality is about this type of game when you show big character".
Jan Vertonghen has backed Vincent Janssen to turn around his Tottenham career after he played a crucial role in the win at Swansea.
Janssen was involved in Tottenham's second goal, as he set-up Son Heung-Min with a cultured flick, after the lively Dele Alli had equalised.
"We've got seven games left to save our season, and that's exactly what we're going to try and do".
"We're still pushing, believing, pressuring the opponent (Chelsea)". If Chelsea do slip up, we have to be in a position to catch them.
"The fact we came out of the game with nothing is pretty heartbreaking".
"We changed formation at half-time, but the good thing is to be flexible, to be able to play in different ways, to take a different direction with the team - that's important".
"The Chelsea v City game could have gone both ways, but we're looking at both sides I think". When we conceded we realised we needed to improve our level.
"Tactically we have had a lot of joy doing that, the challenge is to get support up and around Jordan".