Spurs have conceded 10 goals in the final 15 minutes of league games this season - including two in the defeat at Everton last weekend - but held on at White Hart Lane to take all three points thanks to Jan Vertonghen’s 75th-minute strike.
Villas-Boas admitted the players have been working on their concentration in training during the week and is now targeting a push towards the top two ahead of the busy festive fixture period.
“Yeah, I was a bit nervous [at the end],” said Villas-Boas. “Football is unpredictable but today the players showed the desire and ambition to put right the wrongs.
“We addressed it in training as a group, concentrating in the last part of training. It’s difficult because you can’t recreate the stressful environment of a game. We had a go, we made the exercises more complex and made the players think with the tasks that they have to do."
Villas-Boas also reserved praise for goalscorer Vertonghen after he scored his first official league goal following his summer arrival from Ajax.
“It was a beautiful finish,” added the Spurs manager. “We knew Swansea concede a lot of their goals from set plays. It was important for us, he has proved he has the ability to score goals.
“Today we reverted him to central defense. He’s extremely comfortable on the ball, he can play left back or in the middle. He was captain of Ajax, he’s won titles, he’s a strong character."