Benson, 90, is still in the Intensive Care Unit at Ochsner Medical Center in New Orleans. He was admitted on Feb. 21 with flu-like symptoms.
"Mr. Benson remains in the Intensive Care Unit at Ochsner Medical Center. He remains in stable condition and has shown signs of improving," the team said in a statement. "Mrs. Benson once again thanks everyone for their continued support and prayers."
A New Orleans native, Benson also was hospitalized for precautionary reasons in October after the team reported he was feeling "a little tired and worn out" following the Saints' 20-12 victory over the Chicago Bears. He was released a few days later.
The owner of the Saints since 1985, Benson also owns the NBA's New Orleans Pelicans.