Liverpool came from behind to beat Stoke City 2-1 on Saturday to consolidate their position inside the Premier League's top four.
Liverpool now find themselves nine points clear of fifth place after playing two games more than closest challengers Arsenal and Manchester United, and Klopp believes that his side's latest three-point haul was one of the biggest in his time in charge.
They continued with the new system in the second half, though with Philippe Coutinho and Firmino introduced from the bench, and successfully upped their game to produce a crucial turnaround.
"They (the club) asked me to stay at home because I was not feeling well but I wanted to be here".
When this season comes to an end and the award for the best goal of the campaign is dished out, Roberto Firmino's ferocious strike against Stoke could be among the contenders.
"I am happy for that", he added.
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"The first half was actually not as good as we thought we could be, " Klopp said.
Liverpool boss Jurgen Klopp explained after the match that Firmino had been left exhausted by a packed schedule of matches, both at club and global level, while Coutinho had been ill and lost three kilogrammes. "I want to keep scoring and helping my team, and keep learning from my manager".
"We had to change our attitude and came back fighting; we won our battles and luckily had two Brazilians on the bench who can make a difference".
Klopp showered praise on goalkeeper Simon Mignolet after he superbly denied Charlie Adam and Saido Berahino in the second half.
"I thought a lot about it and no one understands it but that was my decision". The Belgian goalkeeper made two astonishing saves to keep his side on course for the victory.
"At half-time I had a hard decision to make because it wasn't clear that Philippe or Roberto could play 45 minutes", Klopp said. The team played well, created more chances and then we scored but I think the team played well not just individuals.