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Heat butter in a small nonstick skillet. Add onion and cook for 3 minutes to soften.
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Transfer onion to a large bowl. Add soup, sour cream, and milk and stir well.
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Stir in chicken, peas and black pepper.
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Preheat oven to 350 degrees and grease a 7×11-inch baking dish.
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Transfer chicken mixture to baking dish. Place in oven for 10 minutes.
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Remove from oven. Sprinkle with 3/4 cup cheese. Arrange biscuits on top and sprinkle with remaining cheese.
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Bake for 20 to 25 minutes or until biscuits are golden brown.