Chelsea were thought to be vying for the Spaniard's signature prior to the shock Spurs swoop, but the 32-year-old has revealed Pochettino played a major part in making his mind up.
"The truth is that Chelsea have been after me for a long time but at the end you know how this works. At the very last minute Pochettino called me and convinced me [to join Tottenham]," said Llorente, who made his first appearance for Tottenham on Wednesday night after coming on as a 87th-minute substitute in the 3-1 win over Dortmund.
"The Tottenham project is impressive. They have done very well in the last few years and I think I fit very well with this project. I think I can help them a lot.
"I'm very happy because at the end everything came out perfect. Tottenham are an amazing club with a wonderful project and I think I fit in very well. I want to put my contribution on it and hopefully I can score many goals to help the club to achieve their targets.
"Pochettino was someone very important, without doubt. I knew him from when I was in Spain. There, in what is a nice story, I made my debut against him [for Athletic Bilbao against Espanyol] at San Mames. He was at the end of his career and I was at the start of mine.
"Later, he was manager of Espanyol and I was an Athletic player, and we competed against each other various other times. Now I'm at his service for Spurs, and I really want to give him my best."