Demps has a race scheduled in March and the track season runs through August, the time which teams are already in training camp. Demps did not play last season because the team put him on injured reserve before the first game.
Demps was a member of the 4x100-meter relay team that finished second to Jamaica in the 2012 Olympic Games in London. He signed a three-year, $1.451 million contract with the Patriots last August and has already received the $211,000 that was guaranteed in the deal.
"Jeff has no intention of leaving football. He just loves track and wants to do both," Demps' agent Daniel Rose said.