Drew Brees says he believes he and Sean Payton will be back with the Saints next season _lowres

New Orleans Saints head coach Sean Payton talks to quarterback Drew Brees (9) before an NFL football game against the Jacksonville Jaguars in New Orleans, Sunday, Dec. 27, 2015. (AP Photo/Jonathan Bachman)

Speculation has swirled throughout this season that the New Orleans Saints could be coming to the end of the most successful regime in franchise history.

Sean Payton and Drew Brees, the two men most associated with that era, have both been rumored to possibly move in the offseason — Payton as a coaching target and Brees as a potential cap casualty given his $30 million salary cap figure next year.

The NFL Network reported Sunday morning that Brees would have to take a hometown discount to stay.

Brees doesn’t see himself or Payton leaving this offseason.

“No, I don’t,” Brees said in an appearance on the NFL Network on Tuesday. “I think a plan was put in place throughout last offseason as to how we were going to build the foundation to make a run at it in the future, and I think that includes new faces, that includes new players that I think will all come together.”

New Orleans (6-9) has already gone through plenty of overhaul, shaking up the front office, changing defensive coordinators and trading away several offensive pieces in order to start building a foundation.

Not all of those moves have paid immediate dividends, but Brees remains confident in the Saints’ direction.

“Unfortunately, we had high expectations going into this year and we fell a little bit short, but I’m confident with the character, the leadership, the talent that we have that exists on our team right now, we will be able to make that run in the future,” Brees said.

Brees believes the Saints can be a contender again with this team soon.

“I feel like we’re building something great with our team that hopefully we’ll be able to make a run at it in the future,” Brees said.

Southern connection

The Saints promoted tight end Rashaun Allen to the 53-man roster Tuesday, agent Waukeen McCoy said.

Allen, who was signed to the practice squad in early November, is a Southern product who spent most of his first two seasons in Seattle, playing in one game for the Seahawks.

No corresponding move was announced as of Tuesday night. Tight end Josh Hill left Sunday’s win over Jacksonville after taking a hit to the head, but he had not been placed on injured reserve.

Practice squad addition

The Saints signed linebacker Jeff Luc to the practice squad, agent Sunny Shah said.

Luc, a 6-1, 256-pounder from Cincinnati, was signed as an undrafted free agent by Miami and spent training camp with the Dolphins, only to get released in Miami’s final cutdown.