Dry sauté or use a little oil to sauté onions until soft but not brown.
Add garlic and ginger and cook stirring for 1 minute.
Add carrots and just enough broth to cover the vegetables.
Bring to a boil and then turn down heat to simmer for 20-30 minutes, until carrots are tender.
Add the coconut milk and stir to incorporate.
In batches, transfer the soup to a blender and blend until completely smooth. If desired, add more broth to reach consistency you like. Or use an immersion blender in the pot.