Dice the onion and chop the carrots and celery into bite-sized pieces. Mince the garlic.
Add the butter to a large stock pot or dutch oven over medium heat and let melt.
Add the onion, carrots, and celery to the melted butter and cook, stirring often, until beginning to soften, about 5 minutes. Stir in the garlic and cook 1 more minute.
Sprinkle the flour over the vegetables and stir to form a paste. Cook for 1 minute.
Gradually pour in the chicken broth, stirring constantly, until mixture has thickened a bit, about 5 minutes.
Add the remaining ingredients to the pot and bring to a low boil. Simmer for 20 minutes or until noodles are tender. For a thinner soup, add additional chicken broth.
Taste and season with additional salt and pepper, if needed, before serving.
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Notes
Our recipe makes for a fairly thick soup, which we love. To make the soup even thicker, add an extra couple of tablespoons of flour to the vegetables in step 4. For a thinner soup, add additional chicken broth in step 6.We keep the seasoning pretty simple, but do sometimes add in a hefty sprinkle of cajun seasoning to add a little kick to this soup.