The Serbian defender, who joined United from Spartak Moscow in 2006, will leave Old Trafford at the end of the season to join Inter Milan.
When asked about what he has learned from the 32-year-old, Jones told United's official website: "It's just his all-round game. From his communication to his passing to his tackling to his heading, he's got some many great attributes.
"You learn off him every day in training, even if he doesn't say anything, you just watch and learn. He's been a huge influence on my career at United and has really helped me along the way. I owe him a lot and I am grateful for everything he's done."
Jones and Vidic both featured as United recorded a 4-0 victory over Norwich City on Saturday.