The Serie A champion is hunting for a new boss after parting ways with Massimiliano Allegri.
Lazio's Simone Inzaghi, Chelsea manager Maurizio Sarri and free agent Antonio Conte are among the names to have been mentioned in connection with the role.
The Bianconeri board reportedly view Klopp and Manchester City manager Pep Guardiola as ideal - albeit less realistic - options, but the German removed all doubt about his future as he focuses on this weekend's Champions League final.
"Of course it's a league that I like, Italy is a beautiful country, but these rumours about me going to Juventus are bull****," Klopp told Sky Sport Italia. "There's nothing true about it, I'm not going to leave Liverpool.
"I know Serie A very well, I follow it and I like it but I am going to stay at Liverpool."
Liverpool will hope to be crowned European champion for the sixth time when it meets Premier League rival Tottenham at the Wanda Metropolitano.
The Reds lost 3-1 to Real Madrid in last year's Champions League final.