Dissolve the flour into the chicken broth to create a smooth mixture.
Place the cubed potatoes, diced onion, minced garlic, frozen broccoli, Velveeta cheese, and both cans of soup into the crockpot. Pour the broth-flour mixture over the ingredients.
Cover and cook on high for 4-5 hours (or low for 6-8 hours) until the potatoes and broccoli are tender.
Stir the soup thoroughly and adjust the seasoning with salt and pepper.