Beilsa's side defended with a deep line but while other teams who have adopted that approach at Anfield have bunkered down for a long day of defending, Leeds took the game to Liverpool.
It is an approach which stretches the field, creating open areas in midfield which can be very risky against a team of Liverpool's quality.
But it worked, for the most part, because Leeds covered so much ground with their impressive work-rate and because they had the skill and organisation to move the ball swiftly through the lines.
"I said before the game, we will all struggle against them, 100%, because the way they play is just uncomfortable. It is different to all the other teams," said Klopp.
It was an approach which worked - forcing Liverpool away from their usual tactic of a high-press and leaving them needing to operate deeper.
"We cannot just press them in their own box always because that’s where they play out, it’s impossible... so we needed a compact formation," said Klopp.
Such has been the focus on Argentine Bielsa and his demanding system that the individual quality in the Leeds side, which won the Championship title last season, is often underplayed.
But while they ultimately paid the price for defensive errors, there were some excellent performances from a team making their bow in the top flight.
Full-back Luke Ayling powered up and down the right flank and Polish international Mateusz Klich added a well-taken goal to an outstanding all-round midfield display.
Jack Harrison's brilliant solo goal capped an excellent performance of inventiveness combined with aggressive pressing that epitomised Leeds' approach.
"They've made a real statement," said former Liverpool player and manager Graeme Souness, now a pundit on Sky Sports television.
"You can say that Liverpool were not at their best but they were not allowed to be at their best. Leeds hunted them down for a large part of that game. I don't think they enjoyed the experience.
"Liverpool normally do that to teams that they play. They normally put teams under pressure and outwork them. Tonight, Liverpool were outworked," he said.
Bielsa was not joining in the praise of his team, however.
"I can never be happy in defeat," said the former Athletic Bilbao and Chile coach, who highlighted his team's defensive errors and felt the champions had deserved their win.
"There were periods when Liverpool dominated. There were loads of periods when the game was even. In some moments we were able to be superior. On the whole though Liverpool were superior."
A fair assessment but after watching their first outing of the season, other Premier League teams will not be looking forward to their encounter with Leeds.