Frank Lampard struck in the 89th minute to give the Blues all three points, after Stephen Ward had cancelled out Ramires’ opener.
And Villas-Boas believes Chelsea are still in the running for the title, as long as they manage to string a number of victories together.
He said: “This team is focused on getting the consistency in terms of getting the results.
“If we go on a winning streak of five or six games, which we are capable of, we can be fighting for this league.
“What December proved is that the top teams can drop points. Maybe 90 points becomes a little bit unrealistic bearing in mind the happenings at the top of the table.
“It doesn’t mean we are still in it because first, to still be in the race, we need to find the consistency that we haven’t got yet.”
Chelsea’s players made a point of celebrating with the under-fire Villas-Boas after Ramires had netted their opening goal.
Reports emerged last month that Villas-Boas had ordered his side to include the coaching staff in their goal celebrations but the Portuguese said the reaction was more spontaneous than that.
Villas-Boas said: “It’s just part of them showing the unity of the team and what the team have been doing.
“I think after the recent happenings in the home fixtures, where we lost points, it is normal for stories to come out, speculation about untrue things going on.
“I didn’t know the celebration was coming. If you like to be speculative, that’s your choice, but if you take that route, you’re not being correct.”