Vannett agreed Wednesday with the Saints on a three-year contract, Mike Garafolo of NFL Network reports.
The Saints let Jared Cook and Josh Hill go this offseason, so Vannett is part of their plans to replace them. Vannett suited up in 15 games with the Broncos last season, recording 14 receptions for 95 yards a touchdown while playing second fiddle to top tight end Noah Fant. The 28-year-old will need to compete with 2020 third-round pick Adam Trautman for the top spot on the depth chart in New Orleans, though both players should have roles on offense. The Saints could also add more competition at the position through the draft.