The 35-year-old feels the club can continue to progress under the guidance of the former Swansea coach, and it is just a matter of time before they shoot up the league
The Portuguese boss goes into the game against the Merseyside club knowing that a win can take Spurs into the top four, but with their opponents currently on an eight-game unbeaten run of their own, he remains wary of the threat they pose.
"At the moment they [Liverpool] are on a good run in terms of form," Villas-Boas told reporters.
"They would want ideally to turn the draws into wins. In a couple of games there were very close to winning but they didn't get the result that they wanted.
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"The power of the club is extremely high and the quality of the players and I think eventually they will join the battle for the top spots."
Villas-Boas is very familiar with Rodgers, the pair having worked together as part of Jose Mourinho's backroom staff at Chelsea, and admits he has followed his former colleague's career ever since.
He added: "The first time I came across Brendan was at an FA coaching course when we were trying to get our degrees and qualifications, we didn't know that our ways would cross paths.
"I saw him again when we were at Chelsea in 2004, when he was there as a youth team coach and he had done really well since then.
"He started his career at the right time, went through a difficult period at Watford. He came strong at Reading and Swansea. [And now] he's in a position which he deserves to be and he has a bright future."