The former Wales midfielder has reportedly been approached to play the role of former Foxes boss Nigel Pearson.
Vardy, who took his Premier League tally for the season to 21 with both goals in the 2-0 win over Sunderland on Sunday, had initially picked the former Wales midfielder to portray him in the planned movie, but reports suggest Jones has instead been approached to play the striker's former boss, Nigel Pearson.
Pearson is widely credited with playing a significant role in the 29-year-old's development, with screenwriter Adrian Butchart, who worked on the first two movies in the Goal! Trilogy, confirming that talks to get Jones on board are underway.
He told SunSport: “We’ve actually got in touch with Vinnie. We quite like him for that role anyway so we got in touch with him and are talking to him about it. If he says yes, we’d be delighted.”
Butchart added that work on the script has already started, although shooting is not expected to begin until after the summer, with producers hoping Vardy will lift the Euro 2016 trophy with England and add to the Hollywood ending.
“I’ve had several discussions with Jamie, his fiancee Becky, I went to the factory where he used to work in and all the people he used to work with," he added.
“I went to Stocksbridge Park Steels, to Fleetwood where I watched a game. I’ve got a long list of people to see.
“Nigel is next on the list and with Roy, I just want to pick a time when he’s not busy with England.
“Roy is of interest because he nearly signed Jamie when he was at West Brom and didn’t and he’s been quoted as saying that he regrets it.”
The role of Vardy himself remains up for grabs, with reports suggesting that Zach Efron, Robert Pattinson and even One Direction star Louis Tomlinson could be in the frame.