Spurs were 1-0 up at Goodison Park after 90 minutes, but goals from Steven Pienaar and Nikica Jelavic cruelly denied the north London side a win over their rivals for a top-four finish.
But, while Villas-Boas admitted the loss was a “difficult” experience, the Portuguese manager called on his side to use the disappointment to their benefit and return to winning ways immediately.
"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.
|28/1||Swansea are 28/1 to beat Tottenham 2-0 with Bet365|
"When a defeat happens there are always things to analyse. We worked on aspects that didn't go well last week like keeping possession and our defensive shape.
The former Chelsea boss was keen to acknowledge that his side face a tough test against an in-form Swansea, who sit just three points behind them in the Premier League.
"We know they have been good away from home,” Villas-boas continued.
“It 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."
The 35-year-old also hailed opposition manager Michael Laudrup, and claimed that his signings of Michu, Jonathan de Guzman and Pablo Hernandez have taken the Swans to “the next level”.
"Any player arriving in the Premier League will find it difficult but Michu has been brilliant, a tremendous goal scorer," he added.
“De Guzman and Hernandez have also done well and Michael Laudrup has taken Swansea to the next level."