According to multiple reports, the Saints have re-signed guard Senio Kelemete to a two-year deal.
The NFL Network reported the deal could be worth up to $4 million.
Wilson, who would become an unrestricted free agent, came to New Orleans last season after spending his first five seasons with the New York Jets.
Kelemete appeared in five games last season as New Orleans worked to find a consistent option at guard opposite longtime standout Jahri Evans. Andrus Peat and Tim Lelito also started games at left guard.
Before being released last month, Evans said he expected to return to New Orleans and had talked about his future with Payton.
New Orleans Saints center Senio Kelemete against the Arizona Cardinals at University of Phoenix Stadium. With Kelemete set to have a larger role going forward, the absence of Evans also gives the Saints salary cap room to land other players this offseason.
He spent 2013 on the squad, was signed to a futures contract after the season and then made the team as a reserve lineman in 2014. Following his one season with the Cardinals, he has remained with the Saints for the past three seasons while serving as a primary backup along the line of scrimmage.