The victory at Anfield has fired Liverpool to the top of the Premier League, two points clear of Chelsea, although Rodgers' side will be overtaken by Manchester City if they win both of their games in hand.
"The dream is for our supporters, they want to win the title, but it is not in my thinking," Rodgers told Sky Sports. "My thinking it is to prepare the team and perform well and if we do that we can continue to win games and then we can see where that takes it. I thought today was as good an atmosphere as there has been.
"It is a monumental size of club and when we have that support behind us it is a real force and the supporters recognize how hard we are working and hopefully that takes us a long way."
An own goal from Younes Kaboul after two minutes handed Liverpool an early lead against Tottenham, while goals from Luis Suarez, Philippe Coutinho and Jordan Henderson wrapped up an eighth consecutive win in the Premier League.
"To perform like we did from the first whistle it was an immense performance and I am very proud of the them today," Rodgers said. "We are very confident with how we play, a lot was made the other night [against Sunderland] of us being anxious but that was not it.
"Today, Tottenham had a spell similar to Sunderland but the difference is we were 4-0 up today and not 2-1, but the confidence in how the players pass the ball, the intensity, they are very calm and focussed on the job and it was a wonderful team performance."
"It is credit to the players, the mentality in each game, we have shown over the course of the season the flexibility in the team - we have a played a 4-4-2 diamond in recent games today but today it was back to 4-3-3 but with two strikers up-field with one side open," Rodgers continued. "So that is credit to them the flexibility and the ideas we have in games, but everyone knows their job and when to press."