After injuring his left leg in a car accident of June 2010 and missing all of last season, Jones is working out to return to playing shape, The Times-Picayune reported Saturday.
Jones will run the 40-yard dash on Wednesday, his 23rd birthday, at St. Martin's High School in Metairie, La.
"It's not so much about me worrying about the time I run," Jones told The Times-Picayune. "It's more about me just getting out there and showing the world that there is progress, the impossible can happen. Because at first, it was impossible for me to walk. That's what doctors said."
One doctor said Jones' injury was one of the most devastating he had ever seen a player try to come back from. But Jones is already running faster 10-yard splits than he did at the NFL Combine.
"All the rumors I heard about him -- he's never going to play again, he should have lost his leg, he's not going to walk again -- I was pretty amazed that he walked in the door," said Derrick Joseph, Jones' speed coach. "Seeing him now, every day, it's 'Wow!' for us."