Liverpool made it three consecutive wins and six games unbeaten in all competitions with a 2-1 result over Spurs in the Premier League.
Second-half goals from Alexander Isak and Hugo Ekitike put the Reds in control after the home side had Xavi Simons sent off before the break.
A nervy finale ensued, though, as Richarlison responded for Tottenham, who mounted pressure during a period of stoppage time in which Cristian Romero was also dismissed.
"It was a really intense game," said Alisson post-match. "I think in the Premier League you cannot think you are just going to easily win games, even if you have an extra player on the pitch.
"They fought a lot for the result in the last 20 minutes. But we were brave enough to keep the result.
"Of course we are not happy for conceding - the clean sheet was a big goal as well for us, to keep the consistency. But three points away against Tottenham, we take that."
The Liverpool goalkeeper said of the closing stages: "That's part of playing in the Premier League. Playing here for a while, you know that the last 10 minutes are the most dangerous ones.
"When we are in a way controlling the game, I think we could do a little bit better with the ball, bringing more threat to their defence.
"But at the end they just put the ball inside our box, they fought. Richarlison brought energy to their team, the crowd came along. But we did well defending the crosses and all the chances they had at the end of the match. We dealt with it well."