Betts spent his entire eight-year NFL career with the Washington Redskins and has recovered after tearing the anterior cruciate and medial collateral ligaments in his left knee last season. He was a longtime backup to Clinton Portis, though the Redskins went in a different direction this offseason, signing veterans Larry Johnson and Willie Parker.
A league source told La Canfora that Moreno pulled his right hamstring and will be out at least two weeks. It's a potentially easily aggravated injury, however, so Moreno's recovery time will be re-assessed as he continues to rest and rehabilitate.
Buckhalter's injury appears to be less serious. He was sent to the hospital as a precaution after experiencing some tingling in his extremities, but he was quickly released and could return to practice this week.
While Betts might only be needed as a training-camp fill-in in Denver, New Orleans appears to have a bigger need after Mike Bell signed with the Philadelphia Eagles during the offseason. Betts would compete with third-year pro Lynell Hamilton behind Pierre Thomas and Reggie Bush.
The Associated Press contributed to this report.