The Reds achieved a fourth successive victory to start the season for the first time since 1990-91 by claiming a 2-1 result at the King Power Stadium through first-half goals from Sadio Mane and Roberto Firmino.
Alisson Becker was caught in possession midway through the second period and the Foxes capitalised, teeing up Rachid Ghezzal to halve the deficit from close range.
But Klopp’s men held onto their lead and head into the international break with maximum points.
After the final whistle, the manager gave his assessment of the game, Alisson’s error and the role of the team in ensuring the goalkeeper’s ability on the ball is used properly.