Johnson-Thompson secured the medal in Doha on Thursday night with a British-record total of 6,981 points from the competition’s seven events.
At his pre-Leicester City press conference on Friday, Klopp was asked for his reaction to the Scouser’s achievements.
He replied: “I am a big supporter of these kinds of sports anyway – congratulations, brilliant! I knew about her relationship to Liverpool before obviously.
“I didn’t watch it last night but I saw it this morning first thing in the newspapers. It’s really great – well, well done. The German headlines are not too bad as well because the guy who won the [decathlon] competition is from Mainz, a 21-year-old [Niklas Kaul].