"I said after the first challenge, I don't know who did it, sliding tackle from six or seven yards, getting the ball, everybody likes it, I said to the ref "it's no foul but please tell them you can not do that".
The loss of Joe Gomez for six weeks with a broken leg is significant with fellow defender Dejan Lovren out with concussion and right-back Nathaniel Clyne, who has played just six matches in the last season and a half because of injuries, sidelined for at least a fortnight.
The Liverpool manager was unhappy with a number of Burnley challenges during his team's 3-1 win despite accepting that many were not fouls.
Arsenal fans would feel the exact same if Unai Emery went roaring onto the pitch, just like Manchester United fans with Jose Mourinho and Chelsea fans with Maurizio Sarri.
He acknowledged Gomez's progress this season: "Together with Virgil, he improved so much ... it is a bit lucky because it could have been worse". "Hopefully he can finish the programme today we did for him", Klopp said.
"That's good to know, but of course we hope that it maybe doesn't take that long to score and decide the game".
"There are a lot of players who can play that position, especially in the way we play now".
"You can see how good he is on the ball, how comfortable he is; driving the ball forward, which is important for us".
But, before Klopp's comments, Dyche had spoken about his side's commitment in the tackle, and said: "I thought there were some excellent challenges".
Burnley manager Sean Dyche defended his team's tackling style after the match while accusing Daniel Sturridge of diving.