Feeney could be a first- or second-round pick in the NFL draft.
The Bears are open to trading down from their No. 3 spot Thursday — as are others in the deepest draft in years — but will struggle to find a partner
Cutler was limited to only five games last year because of injuries.
Quarterback Mike Glennon is asserting himself during the first phase of the offseason program.
The Bears also have an award voted on by teammates named in his honor.
The Piccolo Award honors a rookie and a veteran player who exhibit courage, loyalty, teamwork, dedication and a sense of humor.
The Chicago Sun-Times is running a 10-part series previewing the Bears and the NFL draft, which begins on April 27.