Liverpool failed to grab a late draw to extend their lead over fifth-placed Tottenham as they lost to a single goal from Alfie Mawson -- and Klopp himself clashed verbally with a home supporter.
It was Liverpool's first defeat since October, but the points were priceless for Swansea, who cut the gap between themselves and those above the relegation places to just three points.
He said: "I am more frustrated about the performance than the result.
"We didn't keep the right positions we needed to, to cause them problems and didn't stretch them.
"We gave them the opportunity to score and then we did exactly what Swansea wanted.
"They didn't need to play, they needed to fight and we did exactly what they wanted and their confidence grew."
Liverpool missed plenty of opportunities for their normally clinical strikers Sadio Mane, Mo Salah and Roberto Firmino.
They also came up against a goalkeeper at the top of his game in Swansea's Polish number one Lukasz Fabianski.
It summed up an awkward league debut for Van Dijk, who had previously only played in one FA Cup tie since his record 75 million move from Southampton.
- 'He probably has season ticket' -
===================================
The frustrations provoked Klopp into his argument with a Swansea supporter around the hour mark and he admitted: "He was shouting at me all the time but I reacted. I am a human being, not just a professional manager.
Klopp added: "Swansea knew that to win today they needed our help and unfortunately we gave it to them.
"They did the right things to deserve to win a game like this tonight and we didn't deserve it.
"We could have equalised at the end, but didn't have that luck."
For new Swans manager Carlos Carvalhal, this was a tactical triumph as he used a five-man defence to deny Liverpool space and then hit them on the break.
The Portuguese likes to use seafood metaphors to describe players as either lobsters or sardines, but this time he was borrowing motor racing analogies as he left Liverpool on the hard shoulder.
"They are like a Formula One car. But at 4:00pm in London it will be difficult to speed, they would be a car like any other.
"We needed to make sure there was traffic, we could not let them have open roads to drive in.
Disclaimer: No Business Standard Journalist was involved in creation of this content
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