In a 2-cup microwave-safe glass measuring cup or small bowl, heat the coconut milk until it just begins to boil; about 2 minutes.
Add oatmeal to the milk and stir to combine. Set aside and let cool until temperature reaches 120 to 130°F, about 15 minutes. Stir in warm water.
To the bowl of a stand mixer fitted with the dough hook (or a large mixing bowl and knead by hand for about 10 minutes), combine flour, oil, brown sugar, instant dry yeast, and oatmeal mixture. Knead for 5 to 7 minutes on low speed, or until a moist, shaggy dough forms. The dough is quite moist and sticky, but resist the temptation to add additional flour, unless it's so moist that it won't combine. Conversely, if it's too dry, add up to one-quarter cup water. Erring on the side of too moist is always preferable to too dry in bread-making.
After kneading, turn the dough out into a large, greased bowl, cover with plastic wrap, and let it rise in a warm, draft-free place for about 2 hours, or until doubled in size.
Spray an 8-by-4-inch loaf pan with (coconut) cooking spray, or grease and flour the pan; set aside.
After the dough has doubled, punch it down, turn it out onto a floured surface or Silpat and knead it for about 3 minutes.
With your fingers or a rolling pin, shape dough into a 10-inch by 6-inch rectangle, just eyeball it. The long side should be slightly longer than the baking pan, which is 8 inches. Starting with a long edge, roll to form a tight cylinder. There's not much to roll, about 3 turns. Tuck ends in and under, and place cylinder in prepared pan, seam side down. Optionally, when rolling, sprinkle with cinnamon, nutmeg, ground ginger, raisins, or diced dried fruit.
Cover pan with plastic wrap, and allow dough to rise in a warm, draft-free place until doubled, about 60 to 75 minutes.
Preheat oven to 350°F. Bake for about 30 minutes, or until lightly golden, domed, and puffy. Rotate pan midway through baking if desired. When tapped, bread should sound hollow. The internal temperature should reach 210°F.
Allow bread to cool in pan for 5 to 10 minutes before turning out onto a wire rack to cool completely before slicing.