Liverpool are yet to claim any silverware under Klopp in the two years he has been at the club.
The German, who previously led Borussia Dortmund to the Bundesliga title, has seen his side’s form fluctuate this season.
Liverpool are already out of the title race, sitting as they are 17 points behind leaders Manchester City.
But the Reds are stringing results together, with the 5-0 smashing of Swansea extending their unbeaten run to 14 games.
“I know that people are often not patient enough as it’s all about results,” Klopp said.
“It’s possible from outside to think it’s not quick enough, we feel really good in this moment.
“Five minutes in the Arsenal game was not good but the performance was good. We drew.
“For tonight, we feel really good.”
Roberto Firmino scored twice for Liverpool at Anfield, while Philippe Coutinho, Trent Alexander-Arnold and Alex Oxlade-Chamberlain also found the net.
And Klopp was delighted with his side’s efforts.
“After 55 minutes it was brilliant, before that it was work,” he said.
“It was not easy. The last half an hour was fantastic, a joy to watch, a very deserved win.”