Breaux has spent the last two seasons with the Hamilton Tiger-Cats of the Canadian Football League.
He recorded 33 tackles and five pass breakups and returned an interception for a touchdown last season.
Breaux, 25, played in the Arena Football League prior to joining the CFL.
He was unable to get medical clearance to play college football after suffering a serious neck injury during a high school game in 2006.
The 6-foot-1, 196-pounder has reportedly worked out for more than a dozen NFL teams, including the Saints on Friday.
The Tiger-Cats reportedly agreed to release Breaux from his contract on Saturday, about two weeks before CFL players are eligible to sign with NFL teams.
New Orleans went 7-9 and finished second in the NFC South last season.