Sadio Mane came off the bench to score the winner with 12 minutes remaining, expertly taking down skipper Jordan Henderson’s raking pass and smashing in at the near post.
It means Klopp’s men need just five more wins from their remaining 12 games to guarantee their first Premier League title, having dropped just two points all campaign, and lie a mammoth 25 points clear of champions Manchester City.
“The gap is so insane, I don’t really understand it,” Klopp told Sky Sports. “I am not smart enough. I have not had that before. It is outstanding, so difficult.
“I go back into the changing room and we chat about the things and then I am like ‘Oh, but congratulations. We won the game, another three points.'”
Chances were at a premium in a blustery first half, but Liverpool ramped up the pressure in the second period – Canaries goalkeeper Tim Krul making a stunning double save to deny Mohamed Salah’s low shot and Naby Keita’s close-range follow-up.
Having been pegged back for a long period, Norwich could have scored on the counter-attack as Alex Tettey’s strike from an angle caught Alisson by surprise at his near post but the effort rattled the foot of the upright.
But Senegal international Mane – who missed the last two games through a hamstring injury – proved to be the difference having entered the action on the hour mark.