NFL Network's Tom Pelissero reported that the team renewed efforts to trade the talented but fumble-prone running back in the past week to no avail.
With less than four years of experience, Jones is subject to waivers.
In two seasons with the Redskins, Jones compiled 950 yards on 243 carries with six touchdowns and eight fumbles. Jones showed flashes as a rookie, displaying a speed-and-power combination, but fell out of favor in Washington.
While no team wanted to give up assets to trade for Jones, he'll be a name to watch during Sunday's noon waiver-wire transaction period.