Bradford signed a six-year, $78 million deal before his rookie season in 2011 and is scheduled to make $12.985 million next season, with a $16.58 million cap number.
Rams coach Jeff Fisher said that he would like to have Bradford back for the 2015 season, but he would have to rework his deal and win the starting job.
Bradford, 27, missed the entire 2014 season after re-injuring his surgically repaired left knee in the third week of the preseason. Bradford also missed the last nine games in 2013 after injuring the knee for the first time.
He has completed 58.6 percent of his passes for 11,065 yards with 59 touchdowns and 38 interceptions in his five NFL seasons.
Bradford has said he would understand if the team went out and got a free-agent or picked a quarterback during this year’s draft, considering his salary and injury history.
The Rams went 6-10 last season, have not finished .500 since 2006 and haven't had a winning record since 2003.
- Scooby Axson