Bradshaw has been struggling with a neck injury all week since his side's victory over the San Francisco 49ers and has not made enough progress to face Gus Bradley's team.
"Ahmad came in after the game last Sunday, had some discomfort in his neck," Pagano told reporters.
"It was a pretty significant blow [last week]. He played the entire game and ran extremely hard. I don't know exactly when and where it occurred."
Trent Richardson is expected to start in place of Bradshaw on Sunday.