Add coconut milk and baby spinach to blender and blend until smooth and no bits of spinach can be seen anymore.
Add peeled kiwifruits and blend as shortly as possible and as long as necessary to blend them into the smoothie. The reason you don't add the kiwifruit until the end is to avoid overblending them and risking the black seeds to get crushed which ends up making the smoothie a bit bitter.
Serve over ice. The colder the smoothie, the nicer it tastes. If you remember, put the can of coconut milk into the fridge overnight before using.