The free-agent safety signed a one-year deal with the Bears on Tuesday, reuniting with special teams coordinator Joe DeCamillis.
McCray led the Cowboys in special teams’ tackles two of his three years with DeCamillis, and finished second in 2012 when he was forced to play more defensive snaps because of injuries. McCray was credited with eight special teams tackles in 2013 under Rich Bisaccia, tied for sixth on the team.
McCray joined the Cowboys as an undrafted free agent in 2010 and quickly made his presence felt on special teams. He had 87 tackles in 10 starts in 2012 to go with five pass deflections and an interception.