Pour in 6 cups vegetable broth. Season with salt and black pepper to taste. Bring the soup to a boil, then cover and reduce heat to medium-low. Simmer until the carrots are very tender, about 20 minutes, stirring once halfway through.
Remove the pot from the heat. Puree the soup with an immersion blender until smooth. If the soup is too thick, stir in up to 1 more cup of vegetable broth to reach your desired consistency; rewarm gently over low heat if needed.
Stir in 1/2 cup canned coconut milk (or half and half), 1 Tbsp honey (or maple syrup), and 2 tsp fresh lemon juice. Taste and adjust salt and pepper if desired.
Serve warm, garnished with minced parsley if you like.