Media reports have suggested there was a row between the coaching staff and players when they met up at the training ground the day after last Saturday's disappointing 2-0 defeat at Everton in the Premier League.
After the game Villas-Boas described it as Chelsea's worst performance of the season.
Asked whether he still had the support of his players, the manager told a news conference on Thursday: "They don't have to back my project, only the owner needs to back my project."
Villas-Boas, speaking ahead of Saturday's FA Cup Fifth Round match against second-tier Birmingham City at Stamford Bridge, denied there was a row during Sunday's get-together.
"There was a meeting of technical staff and players, nothing dramatic," he explained.
"Everybody understands we need more [than we are giving] and responsibility for this must be shared between the players and management. The right results haven't been happening for us for quite some time."
They are on the same points as fourth-placed Arsenal but with an inferior number of goals scored, leaving the West London club outside the qualifying places for next season's Champions League.
"Not that I know of," he said. "There is no panic, one thing is very important and that is that things are very tight between fourth and seventh places.
"These positions will change on a weekly basis and I am not going to discuss the need to finish fourth every week. There is a minimum damage limitation - Champions League qualification - and that is what we have to do."
Asked if his position was under more threat than it was a week ago, Villas-Boas replied: "I don't think so but it's a question you'll have to ask the owner."
The Portuguese also answered questions about the fact some of the Chelsea players are in regular contact with their former manager, Real Madrid's Jose Mourinho, via text messages.
"This is normal and I don't have a problem with it," he added.
Villas-Boas said captain John Terry trained fully on Thursday despite his persistent knee problem but hinted he may hold the defender back for Tuesday's Champions League first knockout round first leg at Napoli.
Strikers Didier Drogba and Salomon Kalou, in the Ivory Coast team beaten by Zambia in Sunday's Africa Cup of Nations final, are also likely to be back in contention for the Napoli match.
