Line a 3-1/2 or 4-quart slow cooker with a disposable slow cooker liner. Lightly coat liner with cooking spray. Brown sausage according to package directions; cool slightly. Slice links into 1/2-inch pieces.
In slow cooker combine soup, milk, Worcestershire or steak sauce, and pepper. Stir in potatoes, vegetables with cheese sauce, and sausage pieces.
Cover and cook on low-heat setting for 5 to 6 hours or on high-heat setting for 2-1/2 to 3 hours. Turn off cooker. Sprinkle mixture with cheese. Cover and let stand 15 minutes before serving. Makes 6 to 8 servings.