The midfielder moved to Atletico from Real Madrid earlier this summer.
Llorente said, "My family and I wanted to go to an ambitious and good project.
"And Atlético was one of them. In addition, they also showed a lot of interest in me, and as soon as this offer came out, I did not hesitate to come here. I am happy. I know that I have chosen the best for me and for my future.
"The truth is that here there is a great group, both players and coaching staff. From the first day I arrived they introduced me to everyone, they treated me great."