Although the insect's colours of yellow and black are those of Borussia Dortmund's, it clearly was not a fan as it left Klopp in some discomfort just before the final whistle in Friday's 1-0 Bundesliga home win over Werder Bremen.
While Dortmund team doctor Markus Braun is more used to knee and ankle injuries he was called upon to disinfect Klopp's arm when it began to swell.
"I got stung by a wasp, I don't know if I have an allergy, it didn't hurt, it just swelled up fast," joked Klopp.
"I was talking to our substitute Sven Bender when the wasp rammed its sting in my arm, the doctor disinfected it quickly."
Ironically Dortmund's mascot is Emma the Bee, who was also on the sidelines.
The German media joked about his mishap with daily Bild suggesting the wasp may have been blue and white striped -- the colours of Dortmund's arch-rivals Schalke 04, who play 35 kilometres away in Gelsenkirchen.