NFL.com reports NFL Network Insider Ian Rapoport and NFL Network's Tom Pelissero and Jane Slater were told while Bryant worked out for the Saints and left without a contract, the team liked what they saw and negotiations are on.
Bryant is hyping the news on his Facebook page, not mentioning a team but saying he's asked to keep his No. 88.
The Cowboys released Bryant in April and he's been jobless since.
If the deal is done, get ready for fireworks when the Cowboys play the Saints at AT&T Stadium on Nov. 29, that's a Thursday night game.