Llorente is determined to try and break into Antonio Conte's side.
Llorente, who joined Juventus on a free transfer from Athletic Bilbao in the summer, has recently been strongly linked with a January move to Arsenal.
"I've not been asked to leave," Llorente 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 movement and play of the team, but I'm slowly managing to do what the boss wants.
"Once I have completely settled then everything will go well."