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In a large pot, melt the butter over medium heat. Add chopped onion and sliced leeks, sauté until softened but not browned (about 5-7 minutes).
Add diced potatoes, broth, and water. Bring to a boil, then reduce heat and simmer for 20 minutes until potatoes are tender.
Use an immersion blender to puree the soup until smooth. Alternatively, carefully transfer to a blender in batches and blend until creamy.
Stir in the cream or milk. Season with salt and pepper to taste. Heat gently without boiling.
Serve hot, garnished with fresh chives or parsley if desired.
Serving and Storage Tips
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