In large saucepan over medium heat crumble and cook sausage, carrot and onion until sausage is brown and vegetables are softened. Sprinkle flour into pan. Cook, stirring frequently, 1-2 minutes. Gradually stir in broth and milk. Cook, stirring occasionally, until soup comes to a boil. Remove pan from heat and gradually stir in cheese. Stir until cheese is melted and smooth.