Spurs produced a last-gasp winner courtesy of Gareth Bale to beat West Ham United 3-2 at Upton Park and now Villas-Boas is eyeing Manchester City's second spot ahead of the coming weekend's North London derby with Arsenal.
"We just have to keep getting points," Villas-Boas told Sky Sports. "We want to get the most we can get.
"Obviously the distance isn't big to second (five points).
"We face Arsenal Sunday and it is a big opportunity to build the distance to them and that is first on our minds.
"It's going to be a game full of passion. To put Arsenal seven points away is a better margin, but it is not finished, seven points is not enough."