Spurs are now third in the Premier League, seven points behind leaders Chelsea, after Dele Alli’s double secured the hosts’ fifth straight success at White Hart Lane.
“Our performance showed we can be competitive and we can achieve big things,” Pochettino said. “It’s only one game. We need to be regular and consistent during the whole season.
“We’re happy for the victory, but it’s only three points. If we want to fight until the end of the season for big things, for trophies, you need to keep that intensity. That is always the challenge.”
Chelsea were seeking a single-season record of 14 straight wins, to draw level with Arsenal’s all-time record from 2002 which was spread across two campaigns.
The Blues would have gone 10 points clear of their hosts with victory and eight clear of Liverpool, but now their lead is five points.
“It was important for us to reduce the gap,” Pochettino added. “The top four is very competitive, it’s very close. It’s true the gap still is important to Chelsea.
“It was the perfect thing for us to arrive to third place and be close. That is important for us and there are a lot of games before the end of the season.”
Pedro stepped off the bench to send Chelsea into the FA Cup semi-finals after they beat Leicester 2-1 at the King Power Stadium on Sunday evening.
RB Leipzig came from behind at the Red Bull Arena to end a run of four winless games and defeat Bundesliga leaders Bayern Munich 2-1 on Sunday.