If the Packers don't match, signing Bush won't cost the Titans a draft pick as compensation. Green Bay had tendered Bush so low that the team only asked for right of first refusal.
Bush has one start in 46 games in three seasons with the Packers. He would provide depth to a Titans secondary that lost Eric King to free agency and could lose Chris Carr to free agency.
Bush was signed by Carolina as an undrafted free agent out of Utah State in 2006 and claimed by Green Bay off waivers in September 2006.