Left tackle Sam Baker is another starter Atlanta could re-sign. Right guard Garrett Reynolds, who started seven games last year before having season-ending back surgery, agreed to a two-year contract on Saturday.
The Falcons likely will try to re-sign several reserves facing unrestricted free agency, a group that includes defensive tackle Vance Walker, cornerback Christopher Owens and fullback Mike Cox. It's not clear if starting center Todd McClure wants to return for a 15th season.
Moore, a second-round draft pick out of Missouri in 2009, has made 38 starts in four seasons with the Falcons. He was limited by a hamstring injury to 12 games last season. He set a career high with five interceptions in 2010.