Spurs must now rely on either Chelsea or Arsenal slipping up in the final two games of the season in order to claim a place in the Premier League's top four.
Villas-Boas was pleased to see Spurs twice come from behind to claim a point at Stamford Bridge, and has urged his team to focus on beating Stoke City and Sunderland in their final fixtures.
"It was good for us to get back in the game in the second half, we really increased the tempo and played really, really well," the former Chelsea manager told Sky Sports.
"Obviously with the point we don't depend on ourselves any more as somebody has to drop points.
"Our focus is on doing our job in these remaining fixtures. In the Premier League, everything can happen, so keep the faith.
"We wanted to win and the feeling is a point is not bad. Our focus is to continue to do our job and, hopefully with the teams that Arsenal and Chelsea have to play, who are fighting for survival, something can happen.
"The Premier League is completely unpredictable. Wigan, they have to go to Arsenal. Chelsea have a difficult game against Aston Villa on Saturday morning, and we have a difficult game at Stoke, who are also fighting.
"The next fixtures before the emotions of the last day of the season can be decisive."
Villas-Boas also praised the performance of Emmanuel Adebayor, who scored Spurs' first equaliser in stunning fashion in the first half.
He added: "Adebayor's first goal is absolutely unbelievable. It was good for him to score in such a decisive place.
"He had a great, great game. He really linked up the game well for us and you saw his finishing touch. He has fully deserved his man of the match."