Preheat oven to 400°F. Combine stuffing mix and water in large bowl. Let stand 5 min. Meanwhile, pound chicken to 1/4-inch thickness using meat mallet. Add broccoli to stuffing; mix lightly. Spread evenly onto chicken breasts to within 1/2 inch of outer edges. Roll up each chicken breast from one of the short ends, enclosing the stuffing mixture.