Preheat oven to 350°. Prepare stuffing mix according to package directions, using only 1-1/2 cups water.
In large bowl, combine chicken, broccoli and soup; transfer to a greased 11x7-in. baking dish. Top with stuffing; sprinkle with cheese. Bake, covered, 20 minutes. Uncover; bake until heated through, 10-15 minutes longer.