In a corresponding move, the Bears elevated defensive end Barry Turner from the practice squad.
The Bears signed Grant, an eight-year veteran, on Oct. 5 after releasing defensive end Mark Anderson. Grant didn't appear in a game for the Bears.
Originally a first-round pick of the Saints in 2002, Grant played eight seasons in New Orleans, where he contributed 505 tackles and 47 sacks in 118 career games before the club released him in March. Grant subsequently joined the Miami Dolphins, only to be cut after a solid preseason. Grant resurfaced with the Omaha Nighthawks of the UFL, where he participated in two games prior to signing with the Bears.
Turner was an undrafted free agent out of Nebraska.