In a large saucepan, heat the carrots, sugar and water. Cover and simmer until the carrots are tender, about 20 minutes. Drain the carrots, reserving some of the liquid. Set aside.
In a separate saucepan over medium-high heat, whisk together flour, pepper, nutmeg and milk. Cook, stirring constantly, until the white sauce thickens.
In a blender or food processor, add the cooked carrots and white sauce. Puree until smooth. Add reserved liquid to desired consistency. Ladle into separate bowls and garnish each with 1 teaspoon parsley. Serve immediately.