Spurs scored first through Clint Dempsey in the 76th minute before Steven Pienaar and Nikica Jelavic netted within two minutes of each other at the death to snatch maximum points.
"The dressing room was extremely disappointed after Everton. To see the result shift and us to take nothing was difficult," Villas-Boas told reporters.
"The boys came into training this week with desire and wanted to improve.
"I approach the players as individuals and I know we can bounce back. Which we have done this week.
"We know they (Swansea) have been good away from home.
â€œIt won't be an easy game. They are here on their own merit. We are sitting three points off third and we look forward to the next two home games.
"We have come out of a difficult five weeks playing 10 games which has been tiring. The players have been brilliant throughout. It was important to have a breather this week and we've trained well in a free week."