Tight end Jermichael Finley also was injured in the game, leaving in the third quarter with a shoulder injury. He had three catches for 11 yards in the game before his injury.
Benson left with a foot injury and Raji hurt his left ankle. Neither player returned in the 30-27 loss.
Benson had gained 20 yards on seven carriers before his injury Sunday.
Coming into Sunday's game, the 29-year-old Benson had rushed for 228 yards and a touchdown in four games.
He signed with the Packers as a free agent this offseason after four seasons with the Bengals. The eight-year veteran has rushed for more than 1,000 yards each of the past three seasons.