Klopp said: "I would have loved to not be 1-0 down, I would love to have been four or five nil up but that's the best we played against De Zerbi's Brighton.
"Playing wise it was really good, defending wise, yes always a struggle but there's been games against Brighton we were never close but this time we were calm. That is the first of the last 10, let's keep going."
On move for the winner, he continued: "That is an unbelievable ball (from Dominik Szoboszlai). It is the creativity and the quality, seeing that. He sees Macca, his first touch is incredible and then he sees Mo. How wasteful we were at all the other moments it was good we had this genius football moment to finish the game off.
"Brighton have incredible quality. That is the measure I have for how good we were today because I really respect them. They had chances, they took more risks all of a sudden and we got slightly tired.
"We deserved to win the game. That is what you want and then on top of that it is really cool."
Asked if he'll watch the Manchester City v Arsenal clash, Klopp said: "We have a booth room and I will watch a bit of it because the traffic is now heavy to get out of the stadium.
"We just have to win our games and see where we end up."