HEAT oven to 375°F.
WHISK eggs, milk and sour cream in large bowl until well blended. Add broccoli, dry stuffing mix, ham and 1/2 cup cheese; mix lightly.
POUR into 2-L casserole dish; cover.
BAKE 45 min. or until heated through. Sprinkle with remaining cheese; bake, uncovered, 10 min. or until melted.