Jaguars coach Mike Mularkey updated Jones-Drew's status Monday, acknowledging that the three-time Pro Bowler could miss an extended period of time.
Mularkey also said that starting quarterback Blaine Gabbert, who injured his non-throwing shoulder Sunday and missed the second half against Oakland, has a good chance to play against Green Bay.
Jones-Drew suffered the injury to his left foot on Jacksonville's first play from scrimmage in Sunday's 26-23 overtime loss to the Oakland Raiders. The seven-year veteran was standing on crutches on the sideline in the second half and left the stadium in a walking boot.
Mularkey said he doesn't have results of tests performed on Jones-Drew's foot but added that team doctors haven't ruled out the possibility of it being a Lisfranc injury.
Jones-Drew, who leads the Jaguars with 414 rushing yards, was replaced by Rashad Jennings, who ran for 44 yards against Oakland and will start against Green Bay.
Gabbert injured his left shoulder on a sack in the second quarter and was replaced by Chad Henne, who struggled down the stretch as the Jaguars squandered a 14-point lead.
Mularkey said Gabbert will undergo extensive tests later Monday and could return to take normal repetitions in practice. Mularkey also emphasized his confidence in Henne and said that Jacksonville has multiple options to take snaps out of the Wildcat formation.
Information from The Associated Press was used in this report.