Lightly grease an 11×7-inch baking dish with cooking spray. Set aside.
Prepare the stuffing mix according to package directions, using 1½ cups water. Set aside.
In a large bowl, combine the chicken, broccoli florets, soup, and spices.
Spread the chicken mixture into the prepared baking dish. Top with stuffing and then sprinkle with shredded cheese.
Cover with foil and bake at 350ºF for 20 minutes. Then, uncover and continue baking until heated through.