Jones had planned to ask to be reinstated before the NFL Draft on April 26-27. His agent, Manny Arora, said that being able to work out for teams would increase Jones' appeal to those in the market for a cornerback.
"We were hoping something would get worked out with the Titans or another team to work out a trade, but the trade talks, the way I read, aren't progressing as well as we hoped," Arora said on Saturday. "If the commissioner reinstates or grants permission to work out at a team's facility, that should ease the risk factor for a team interested in picking him up."
The NFL sent Jones a letter in late February telling him he could not work out at the Titans' facility. The Titans have given Jones permission to talk to other teams about a trade, and the Dallas Cowboys have shown the most interest. But the talks reportedly have bogged down over compensation.
Arora said they still hope Jones will be traded before the draft, and they are ready to rework his contract.
Arora also said that if they can't get Jones reinstated they hope to at least ease the terms of his suspension, now going on more than a year, to make him more attractive.
Jones was the first defensive player drafted in 2005 with the sixth pick overall out of West Virginia, and he was Tennessee's best defender in 2005 and 2006.
Goodell suspended him on April 10, 2007, for his off-field conduct, which now includes six arrests since being drafted.
Jones settled the last of his criminal charges on Feb. 14 by entering an Alford plea to obstruction of a police officer in Georgia, which left him with a felony conviction.
The commissioner has said he'll consider reinstating the cornerback before training camps open in July.