The veteran is staying in the NFC West, agreeing to a reported two-year, $7.5 million deal with the 49ers.
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Dockett, 34, missed the 2014 season with a torn knee ligament. The Cardinals reportedly wanted to re-sign Dockett to a new, more team-friendly deal after releasing him from his current contract last week, but the three-time Pro Bowler decided to go elsewhere in the division.