The Spaniard was expected to leave Swansea to join Chelsea on deadline day.
But Llorente rejected the chance to reunite with former Antonio Conte, opting instead for a move to North London.
And now the 32-year-old has revealed it was a phone call from Pochettino that made his decision for him.
"The truth is that Chelsea have been after me for a long time but at the end you know how this works," said Llorente.
"At the very last minute Pochettino called me and convinced me to join Tottenham.
"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."
And it turns out Llorente and his new boss have crossed paths in the past.
"Pochettino was someone very important, without doubt. I knew him from when I was in Spain," he added.
"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."
Llorente made his first appearance for Spurs last night, coming off the bench in the 87th minute against Borussia Dortmund.
