The Reds cruised to victory at Elland Road after strikes from Mohamed Salah, Fabinho and Sadio Mane.
The result moves Liverpool up to third, with 10 points from four games to start the new season.
Liverpool have the same ledger with Manchester United and Chelsea, who they trail on goal difference only.
“I’m not interested in the form we had when we won the title, I am interested in the best possible shape we can have now, and I don’t even know it,” Klopp said after the win.
“Obviously we played a really good game today, but it was necessary. To play a little bit worse, a little bit less good, then Leeds will punish you. You saw that.
“I think after two minutes there were already two or three counter-attacks on both sidelines, runs box to box, that was the outlook for the game. It was clear it would be really tough.
“But then we pressed exceptionally well, that’s why we won a lot of balls, that’s why we could play from there. It was, of course, far away from being perfect; we scored nice goals but we should have had more clear-cut chances.
“We had a lot of finishes 30, I heard but we should have had more clear-cut chances. But that’s no problem, today 3-0 is brilliant. But we know we have space for improvement.”
Everton round out the gameweek action at home to Burnley on Monday.