Both the Associated Press and ESPN confirmed the move on Wednesday citing league sources who requested anonymity.
Since being selected by the Cowboys 24th overall in the 2010 NFL Draft, Bryant has spent his entire career in Dallas, including three Pro Bowl seasons.
However, his professional reputation has been marred at times by public confrontations with coaches and teammates during games and practices. Last season, the 30-year-old caught 69 passes for 838 yards and six touchdowns for the Cowboys. He signed his last contract right after that but has not approached that level of production since - a central reason Dallas released him in April.
Bryant was among several receivers to work out for the Saints on Tuesday.
During the preseason, Bryant had been inside the Browns facility but Cleveland elected not to sign him. At the same time, New Orleans is without deep threat Ted Ginn Jr., who is now on injured reserve and won't be eligible to return until the final few weeks of the season, if he's ready by then.
The Saints will visit the Cowboys at AT&T Stadium in Arlington on November 29.
The New Orleans Saints, the Eagles' opponent in two weeks, have reportedly added a receiver of their own. Moving forward, Bryant will be a WR3/flex as he learns the Saints offense, but his value may increase.
"Dez has been a really good player in this league for a long time and there's certainly a skillset he has that is going to be beneficial", Brees said.
An adorable preschooler invading a live shot is a better way to go viral than getting whacked in the face by a flying football.