Bring a large pot of salted water to a boil. Add fettuccine pasta and cook for 8 to 10 minutes or until al dente, adding broccoli for the last 4 minutes of cooking. Drain.
Cut chicken breast meat into bite size pieces, trimming any fat off in the process. In a large frypan melt butter or margarine over medium heat. Add chicken and saute until well browned. Add soup, milk and cheese and stir all together. Add pasta/broccoli mixture and heat through. Serve hot.