The Detroit Lions have also been talking to Jones.
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The Bengals drafted a cornerback, Brandon Ghee, in the third round but might be looking at Jones as a backup corner and kick returner.
Any obstacles that might have prevented free-agent cornerback Adam "Pacman" Jones from rejoining the NFL were officially cleared Monday.
The NFL sent Jones' agents, Ray Savage and Tom Hunter, an e-mail notifying them their client was free to sign with and play for any team he wants this season.
Some teams had questions about whether Jones would be able to play for them after Jones was reinstated in 2008 but spent last season out of football.
"This is further affirmation that Adam is ready, willing and able to step in and contribute immediately," Savage said.
Jones was once considered a promising NFL star, but his repeated run-ins with the law have derailed his career.
The 26-year-old ex-West Virginia standout was an elite cornerback and kick returner in his first two seasons with the Tennessee Titans, where Schwartz was the defensive coordinator.
But Jones was suspended for the 2007 season by league commissioner Roger Goodell for a number of off-field incidents.
The Dallas Cowboys traded for him in 2008. Before that time, he had been arrested six times and involved in 12 episodes requiring police intervention since being drafted in the first round. He got into a scuffle with a bodyguard who was part of a team-employed security detail in October 2008 and again was suspended.
The Cowboys released Jones after the 2008 season in which he averaged only 4.5 yards per punt return and was spotty at cornerback.
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