Smith was optimistic when asked if Jones would return to practice Thursday.
"We certainly hope so," Smith said. "We hope it's a 24-hour bug and not a 48-hour. He was not feeling well, so we sent him home."
Jones leads the Falcons with 912 receiving yards on 67 receptions with three touchdowns. He hasn't scored a touchdown in the last seven games, which is the longest drought of his career.
Outside linebacker/defensive end Jonathan Massaquoi, who had been dealing with a foot injury, did not show up on the injury report.