Mix in the carrots, potatoes, and squash. Pour in the vegetable broth and coconut milk.
Bring to a boil, then reduce to a simmer.
Cook until vegetables are fork-tender, about 15–20 minutes.
Once veggies are soft, use an immersion blender to blend about half of the soup (or transfer to a blender in batches). This will give the soup a creamy base while keeping some chunks for texture.