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Cook 1 medium diced onion and 2 cloves minced garlic in 3 teaspoons vegetable oil (or butter) over medium heat until golden.
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Mix 4 cups skim milk, 2 cups chicken broth, 6 tablespoons flour, 1 teaspoon salt and ½ teaspoon coarse black pepper.
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Stir into onion mixture until thickened.
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Stir in 1 cup grated parmesan cheese.
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Add 2-3 cups cooked chicken.
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Cook 1 pound penne noodles approx. 8 minutes. Add 16 ounces broccoli florets to cooking water and continue cooking 2 or 3 more minutes.
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Drain noodles and broccoli and add to sauce.