Cincinnati lost CB Darqueze Dennard for the season after he suffered a shoulder injury last week.
Brown, 28, is a former fifth-round pick of the Ravens back in 2011. He spent a little over three years in Baltimore before he was waived and later claimed by the Giants.
New York elected to release him with an injury settlement at the start of the regular season, but he’s found limited interest since becoming available.
In 2014, Brown appeared in 15 games and recorded 40 tackles and two pass defenses for the Giants.