Former Reds defender Ragnar Klavan claims the pair almost came to blows almost five years ago.
"It must be a massive misunderstanding," Klopp told Sky Sports.
He added: "I don't know exactly what Ragnar's level is but we were not close [to fighting]. I know now which situation he means, but I didn't step in his direction.
"Everybody knows how I look when I speak or shout; it looks quite aggressive without being aggressive. Maybe Ragnar was not used to that yet.
"It was nothing. James Milner would never do that and I would never do that. It's all fine."
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!