The striker has been linked with a move away from Turin despite having only joined the Bianconeri from Athletic Bilbao on a free transfer in the summer, with Arsenal the latest club to be linked with the Spain international.
Despite initially failing to break into the first team, Llorente has featured on a more regular basis in the past month, salvaging a point for Juve in Tuesday's Champions League clash with Real Madrid, and he dismissed claims that he could soon be on the move again.
"I’ve not been asked to leave,” the 28-year-old forward told Radiogaceta de los Deportes. "What is being written in the papers is false. I have the complete faith of everyone at Juventus.
"It was not easy for me to adapt to the movements and plays of the team, but I’m slowly managing to do what the boss [Antonio Conte] wants.
"Once I have completely settled, then everything will go well."
The Scudetto holders trail Serie A leaders Roma by three points heading into Sunday's clash with Napoli and Llorente is aware of the threat posed by the high-flying Partenopei.
"It will be a game against a high-level opponent," the Spaniard added. "There will be a lot at stake in this encounter."
Llorente has scored once in eight appearances in Serie A this season, though he has a better record in Europe, with two goals in three Champions League fixtures.