Vice President for Intercollegiate Athletics Pat Kraft announced Bradley's gameday duty on Nittany Game Week Sunday.
McSorley will leave New England after signing with the Patriots in April.
With just days left until Penn State football opens its season, the group's wide receiver corps is full of unanswered questions.
The likes of Curtis Jacobs and Abdul Carter are expected to hold down the linebacker roles, while Hakeem Beamon and Adisa Isaac bring starting experience to the defensive line.
The jersey, which was first worn by Jonathan Sutherland, is given to a player who is a "tough, disciplined, dependable, physical leader."
The Nittany Lions saw a two-spot bump from their preseason ranking of No. 10.