Prepare linguine according to package directions in 3 qt saucepan. Add broccoli during last 4 min of cooking time. Drain linguine mixture.

Heat butter in skillet over medium-heat. Add chicken and cook until well browned and cooked through, stirring often.

Stir soup, milk, cheese, black pepper and linguine mixture in skillet and cook until mixture is hot, stirring occasionally. Serve with additional Parmesean cheese.