According to the reports, Jordan, who was selected to the Pro Bowl last season, is not expected to be out long and should make a full recovery.
The story was first reported by Bleacher Report.
Jordan battled through the back injury for much of last season, missing practice time but never a game.
Jordan, 26, had 10.0 sacks last season. He has 30.0 sacks the past three seasons for New Orleans.
He signed a five-year extension through 2020 last June worth a reported $55 million, with $33.469 million guaranteed.