It was a second heavy defeat in a month for Spurs who were crushed 6-0 at Manchester City on Nov. 24.
"It is not my control, it's not my call. I won't resign and I am not a quitter. All I can do is work hard with the players," the Portuguese coach told a news conference when asked whether his job was safe.
"Everybody is down as you can understand. I repeat that we are not far off. The reality is that in the Premier League we are completely off our expectations.
"This is a top four squad but in the Premier League the form is not there. We have the squad, ability, we believe in each other."
Spurs anticipated the arrival of 100 million euros ($135.07 million) from Gareth Bale's sale to Real Madrid by bringing in the likes of Spain striker Roberto Soldado, Argentine forward Erik Lamela, Denmark playmaker Christian Eriksen and Brazil midfielder Paulinho.
But the new signings have still to make their mark consistently and Paulinho was sent off against Liverpool for a high challenge on Suarez.
"We had worked hard to build a strong team and we are happy with the signings... the players we have are top quality and we have to work hard to bond them together. We have been extremely unfortunate with injuries," Villas-Boas said.
Since conceding six goals at City, Spurs had appeared to have got back on track with a home draw against Manchester United and back-to-back away wins at Fulham and Sunderland.
They have also eased into the knockout phase of the Europa League by winning all six group games, but another slip-up at home to London rivals West Ham United in the quarter-finals of the League Cup on Wednesday could leave Villas-Boas facing an uncertain future.
"The result (against Liverpool) makes it difficult to bounce back, but we have done it before.
"We will have to work hard these next few days."