The 29-year-old, who is scheduled to make $1.5 million this season, scored twice and finished with seven points in 27 games in 2012-13. He missed the start of the season with an eye injury.
Jones scored 17 goals in 2011-12 and 18 during the 2010-11 season. He has 52 goals and 94 points in 282 games with the Oilers and Nashville Predators. The Oilers claimed him off waivers from Nashville in March 2010 and re-signed him as a free agent on July 8.
Other teams have until Thursday at noon ET to claim Jones.
We have no doubt how he can play. You don't, with four teams that are left, you're not getting here without good goaltending. All great goalies left, and [Bishop] is a top-tier goaltender in this league and he's shown it.
— Lightning coach Jon Cooper on goalie Ben Bishop, who shut out the Rangers in Game 5