Jones-Drew has missed Oakland's last two games after having hand surgery. He returned to practice last Thursday.
"Yeah, definitely," Jones-Drew said, when asked if he thinks he'll be in the lineup Sunday. "It's not up to me but I feel like I'll be able to play."
The 29-year-old had nine rushes for 11 yards during the Raiders' season opener. Running back Darren McFadden has taken the bulk of Oakland's carries in Jones-Drew's absence.
Last season, Jones-Drew rushed for 803 yards and five touchdowns with the Jaguars.
The Raiders are 0-3 this season heading into Week 4.
- Molly Geary