In a large saucepan, brown sausage; drain. Set sausage aside. In the same pan, combine the potatoes, corn, broth, celery, carrot and seasonings. Bring to a boil. , Reduce heat; cover and simmer for 15 minutes or until vegetables are tender. Add the milk, cheese, parsley and sausage. Cook and stir over low heat until cheese is melted and soup is heated through.