In two games this season, Ingram has 143 yards and three touchdowns on 24 carries. He also has four catches for 22 yards.
ESPN's Adam Schefter reported that Ingram's hand is broken.
The Saints' backup running back is Khiry Robinson, who has 14 carries for 59 yards and a touchdown this season.
Saints coach Sean Payton declined to confirm the report.
"Nothing now," Payton said. "We'll evaluate where he's at. Nothing today with regard to specifics."
The 0-2 Saints play the Minnesota Vikings at home next Sunday.
- Sarah Barshop