Spurs outclassed their London rivals to win 3-1, meaning they have their first consecutive wins in this bitter fixture since 1987.
Alli scored first, but was also crucial in giving Chelsea pass master Jorginho little room to breathe.
“The manager makes it very clear what you have to do. So going into the game, you know your role and what you have to do,” he said.
“You don’t have to worry about anything else, your football is natural, it’s what you’ve been doing for a long time.
“So as long as we’re clear on our roles and responsibilities, we can enjoy playing.
“We knew Jorginho is a big part of them playing out from the back and dominating possession. He’s obviously a very good player and likes getting on the ball.
“We thought that if we could stop that — and we wanted to win the ball up high — so I wanted to be as close to him as possible to make sure that we did win the ball up high, break early and create the chances we did.”
The result was in no way a reflection on the actual battering handed out by Spurs, with Alli, Harry Kane and Heung-min Son all missing good opportunities.
“On another day, we could have scored a lot more. But in the end, it was a top performance from us,” Alli, who has scored more goals against Chelsea than he has against any other side, added.
Tottenham play Inter in the Champions League next followed by a north London derby against Arsenal and Pochettino wants the win against the Blues to set the tone for the season even though he doesn’t believe it was the club’s best performance of the season.
“One thing we need to realise is with the right attitude we can compete on this level,” he said.
“We need to realise, with the right attitude, we can compete. But when we struggle to show the quality, we show a lack of aggression, will and attitude.
“And that’s when it’s difficult to perform like we did today.”