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Step 1
In a small bowl, whisk together flour and 1/2 cup broth. Set aside.
Step 2
In a large stockpot or Dutch oven *affiliate link, heat olive oil to medium-high. Add onion, celery, carrot and 1/2 teaspoon coarse salt. Sauté, stirring occasionally, until softened – about 5 to 7 minutes.
Step 3
Add garlic. Continue to sauté until the garlic is fragrant, about 30 seconds.
Step 4
Add potatoes, remaining broth and milk. Bring to a boil.
Step 5
Reduce heat to medium-low and simmer for 20 – 30 minutes, or until potatoes are soft.
Step 6
Add flour-broth mixture (stir before adding if needed). Stir soup and continue to simmer until thickened – about 5 minutes.
Step 7
Season with remaining salt, black pepper and parsley.