Grill or boil the chicken breasts and then cut into bite size pieces. You could use rotisserie chicken or homemade shredded chicken too.
Preheat the oven to 400 F. Lightly grease a 9x13-inch baking dish with non-stick cooking spray.
In a large bowl, whisk together the cream of mushroom soup and milk. Toss in the diced/shredded chicken, stuffing mix, broccoli florets, and half of the shredded Swiss cheese.
Transfer to the prepared baking, spreading out evenly, and then sprinkle the remaining shredded Swiss cheese on top.
Bake at 375 for 20 to 25 minutes, or until warmed through and cheese has melted.
Prepare the salad.
Serve Chicken Swiss Stuffing Bake with side salad.