Mix cheeses, rice and broccoli until well blended; set aside.
Place chicken breasts, top-sides down, on large cutting board; spread evenly with rice mixture. Starting at one of the short ends, tightly roll up each chicken breast; place, seam-side down, in 13x9-inch baking dish.
Drizzle evenly with dressing.
Bake 35 to 40 min. or until chicken is cooked through (170F).