Meanwhile, heat butter in a large soup pot over medium-high heat. Stir in flour with a wire whisk; cook, stirring until the flour is light brown, about 3 or 4 minutes. Gradually stir in milk, whisking to prevent scorching, until thickened. Remove from heat, and gradually stir in cheese. Keep warm.
Stir beer mixture into cheese mixture. Bring to a simmer, and cook 10 minutes.
**Sausage can be added to soup for more texture and flavor**
