Liverpool were beaten 3-2 by West Brom, and the German coach was bemused by how little time was added, particularly at the end of the first half.
He says there were at least 10 minutes worth of stoppages, inclusive of a four-minute delay as VAR was consulted prior to the awarding of Firmino's penalty.
"What I heard was that the actual extra time in the first half should have been 10 minutes," said Klopp.
"It was only four minutes. I heard that television said it's not longer than four minutes. Of course that's not possible, you can't cut match time because there is something else to broadcast. I don't know what was afterwards, maybe the news or something."
The game was screened live by BT Sports at prime time on Saturday evening. Klopp said the game time could never be compromised simply because the game is being broadcast live. The same channel will show Liverpool's game against Huddersfield tonight.
"It was 10 minutes and so you need to play 10 minutes longer. You cannot say its now a little bit too long," he added.
BT Sport, however, refuted Klopp's claims in a statement, saying: "As broadcaster we have nothing to do with the decision that the referee makes about the amount of added time that is played in a game."