Bring large pot of salted water to boil. Add fettuccini pasta and cook for 8-10 minutes, adding broccoli for the last 4 minutes of cooking. Drain cut chicken breast meat into bite size pieces. In a large skillet melt butter over med heat. Saute chicken until well browned. Add soup, milk and cheese and stir all together. Add pasta/broccoli mixture and heat through. Serve hot.