Klopp was being asked questions about his team's energy levels and match load after a 4-3 defeat to Manchester United in the FA Cup quarter finals.
Klopp fumed: "That's a bit of a dumb question. If you see us often, you can ask us the other times why we have so much energy.
"I don't know how many games we've had recently and how many Manchester United have had. That's sport.
"I'm really disappointed about that question, but you thought obviously it's good."
The reporter then responded: "So too many games?"
A furious Klopp hit back, saying: "Oh you don't think that. Come on! You are obviously not in a great shape and I have no nerves for you."
Thompson told talkSPORT's The Sports Breakfast: "You're asking a question when surely if you watch football and know football and you see Liverpool's fixture list that they've had then you'd understand what he was saying.
The number of games, the number of injuries and how they've all piled up to ask a question like that, I think you would get prickly.
I don't know how they do it now. There's so many interviews to do after the game and trying to think of something and give something maybe it was just one interview too many for him.
I've been in that position myself for six months and it's hard. You're trying to do something different and give a little bit more back and managers, I feel for them.
Not just Jurgen Klopp but all managers because they've got to go to all of these interviews they've got their own TV channels, they've got other TV channels and overseas rights how they do it is beyond me."