Prepare linguine according to package directions in 3-qt saucepan. Add broccoli during last 4 minutes of cooking time. Drain linguine mixture well in a colander.

Heat butter or margarine in 10-inch skillet over medium-high heat. Add chicken & cook until well browned & cooked through, stirring often.

Stir soup, milk, cheese, black pepper, salt (to taste), & linguine mixture in skillet & cook until mixture is hot & bubbling, stirring occasionally. Serve with additional parmesan cheese.