Liverpool condemned Brighton to a fifth straight league defeat thanks to goals from Luis Diaz and Mo Salah, but Klopp was full of praise for the hosts.
“It was a tough match against a good opponent,” he said.
“We needed a few minutes to find our way back into the game. Then we controlled it in a very good way.
“I liked the moments of open play and counter-attacking. I don’t expect to be 2.3-0 at Brighton. It was good at half-time.
“I didn’t expect them to change formation. That’s what they usually do against us. The second half started with a good situation for Brighton but we were in control again.
“We deserved the three points. That’s all I care about.”
In his post-match press conference, Klopp was asked his thoughts on the view that Brighton boss Graham Potter is “one of the best managers around”.
“He definitely is,” Klopp said. “I respect him a lot.
“I really hope they [Brighton] know what they have. They had a very good game.
“We were better and more decisive in the good times.
“The way he sets up the team and the way they play, I couldn’t respect more. Graham is really well liked. I really enjoy watching his teams. I don’t enjoy playing them very much.”
Klopp was also asked for his thoughts on a controversial moment in the first half, when the Albion keeper avoided a red card after facing Diaz as the influential striker headed for the opening goal. Click here to watch the incident.
“I unfortunately can’t say anything about it,” Klopp said. “I don’t know if it’s a red card or not.
“It was a great goal. A top goal.
“There is a problem with clear and obvious. A real problem in these situations.
“Most people think it was a red card. If so, then why wouldn’t it be.
“It happens constantly.”