Add the chopped carrots, diced onion, minced garlic, grated ginger, turmeric, vegetable broth, coconut milk, salt, and black pepper to the slow cooker.
Stir once to combine everything evenly.
Cover and cook on low for 6 hours or on high for 3 hours until the carrots are soft.
Use an immersion blender to puree the soup directly in the slow cooker until smooth. If you do not have an immersion blender, carefully transfer the soup in batches to a countertop blender.
Taste and adjust salt if needed, then serve warm.