The Belgian played for Jol when they were at Ajax together in the 2009-10 season.
Vertonghen told The Mirror: "I played for him and he gave me a lot of confidence. He helped me to become the player I am.
"He found my best position for me. Before he came I was a midfielder or left-back. He made me a centre-half. When he became manager I made the most progress as a player in his first season."
The 25-year-old comes up against his former manager when Tottenham play Fulham later today.