Grant was a limited participant during Wednesday's practice due to a back injury, Armando Salguero of the Miami Herald reports.
Grant's injury likely stems from the flagrant hit he took while attempting to return to a punt during last weekend's win over the Bengals. He'll have two more chances to increase his level of practice activity as he looks to gain clearance for Sunday's contest against the Chiefs. Grant has drawn five or more targets in four of the last five weeks.