He was one of two players listed as doubtful on Friday’s injury report. The other is safety Johnathan Cyprien, who hasn’t practiced the past two days because of a thigh injury.
"It doesn’t look real good for either of them right now," coach Gus Bradley said Friday afternoon.
Both will work out on Sunday morning to see if they’re able to play. If Jones-Drew can’t play, first-year back Jordan Todman would make the start in his place. If Cyprien can’t play, Winston Guy or Chris Prosinski would start at strong safety alongside Josh Evans at free safety.
Not having Jones-Drew would be the more significant loss. He leads the team with 719 yards and five touchdowns rushing, and is third with 34 catches for 239 yards.
Jones-Drew tried to test his hamstring on Friday, but said he couldn’t run full speed.
"Right now it’s just real tight," Jones-Drew said. "You’ve got to let it loosen up and get back to where it feels like the other one or close to it.
"I couldn’t open up yet. If I can’t do that then I’m not going to go out there, because I won’t be able to be myself. Hopefully I’ll be able to go out there Sunday, but if not be set up for next week."
Receiver Cecil Shorts also might be a game-day decision, but he was able to practice on a limited basis on Friday, and is listed as questionable on the injury report.