Cook pasta according to package directions, omitting salt and fat. During the last 3 minutes of cooking, add broccoli to pan; drain.
Place pasta and broccoli in a large bowl.
Combine milk and flour in a saucepan over medium heat, stirring with a whisk until smooth. Cook 5 minutes or until slightly thickened; remove from heat.
Add 2 tablespoons Parmesan and remaining ingredients, stirring with a whisk until smooth.