The Liverpool manager announced on Friday that he'd be leaving the club at the end of the season after almost nine years in charge and he recieved a rapturous recpetion from Anfield in the first match since the announcement.
Klopp wants his side to remain focused during his final five months in charge as the side continues to fight on four fronts and there was no sign of the team dwelling on the past few days here.
Curtis Jones' fifth goal in as many home games – marking the best goalscoring season of his career – and Darwin Nunez's third in his last three were eclipsed by the quality of Diogo Jota's volley for the third.
Headers from Virgil van Dijk and Ryan Gravenberch kick-started the first of what is likely to be many parties at Anfield.
The visitors were under pressure from the off with Joe Gomez having a shot deflected wide and Nunez curling a shot against the post after Jack Stacey lost possession.
Jones broke the deadlock when he headed home a deep cross to the far post by 19-year-old James McConnell, making his full debut in central midfield.
The teenager celebrated by simply raising both arms in the air but the biggest compliment you could pay him was that he did not look out of place in a much-changed team whose bench included Van Dijk, Luis Diaz, Dominik Szoboszlai, Andy Robertson, Trent Alexander-Arnold and Harvey Elliott.
Klopp cited one of the reasons for not quitting after last season's widespread struggles was his desire to put things right and leave the club in a good place for his successor.
In McConnell and 20-year-old defenders Conor Bradley and Jarell Quansah the future looks secure.
However, a defence missing the authority of Van Dijk switched off at a 22nd-minute corner and Ben Gibson flicked a near-post header from Gabriel Sara's inswinger past Alisson Becker.
But Nunez quickly restored their lead when Bradley won possession just inside Norwich's half, exchanged passes with Jota and squared for the Uruguay international to slot home.
The visitors' hopes were virtually extinguished early in the second half by Jota's brilliant volley after Grant Hanley had headed Jones' long pass straight up in the air.
A triple substitution followed immediately with the reception for Van Dijk and Szoboszlai drowned out by the cheer for Robertson as he made his first appearance since October after a dislocated shoulder.
Van Dijk's header from a corner put Liverpool out of sight and even Borja Sainz's superb strike from distance was scant consolation as the siege continued at the other end, with goalkeeper George Long overworked.
Alexander-Arnold came off the bench after a knee problem to play the final 24 minutes in midfield as they continued to tune up a number of their recent absentees before the midweek Premier League visit of Chelsea and Gravenberch's close-range header completed the rout.
The last two occasions Liverpool beat Norwich in the FA Cup at Anfield they went on to win the trophy.
With a home draw against more Championship opponents in either Watford or Southampton the fates seem to be aligning for a potentially epic Klopp farewell and, even without the manager's traditional post-match fist pumps, the Kop need no encouragement to celebrate every moment.
