Drew Brees may potentially miss several games, according to a report. Getty

The New Orleans Saints are off to a winless start after two games, and were dealt some additional bad news on Monday. According to NFL Insider Ian Rapoport, Drew Brees may not be available for weeks due to injury.

"I am told the Saints believe that Drew Brees has a shoulder injury that will likely cause him to miss some games, potentially several games," Rapoport told the NFL Network.

He added that there is no firm confirmation about the extent of the injury and Brees is undergoing tests. The Saints hope to know more about the veteran quarterback's status either Tuesday or Wednesday.

Brees claimed his shoulder was bothered by a hard first-half hit on Sunday against the Tampa Bay Buccaneers. But he had no interest in taking the bench, responding, "No, absolutely not," when asked about his condition.

The 36-year-old still had a strong game, completing 24 of his 38 pass attempts for 255 yards and a touchdown. In the final drive of the game, Brees completed six passes. But he was also sacked for a 20-yard loss and fumbled on the play. He ended the drive with two incompletions, as the Saints fell to the Buccaneers at the Mercedes-Benz Superdome, 26-19.

"This is a marathon. You've got to reiterate that to the young guys and make sure that nobody is overreacting," Brees said after the game. "Certainly there is a sense of urgency. The only way you can right the ship is by winning one game."

Brees is a nine-time Pro Bowler. The last time he missed a game was in 2009, and the last time he missed more than one game in a season was in 2003.