Heat oil in a large soup pot over medium heat. Add onions, carrots, and celery. Sauté until onions are translucent.
Stir in garlic, salt, parsley, thyme, pepper, and paprika. Cook for 1 minute.
Pour in the stock and deglaze the pot by scraping up any browned bits.
Add the potatoes, bring to a boil, then reduce heat and simmer covered for about 10 minutes or until potatoes are tender.
Meanwhile, melt butter in a microwave-safe bowl. Stir in flour until combined, then whisk in the milk until smooth. Microwave in 45-second intervals, whisking each time until thickened.
Once potatoes are tender, add the chopped turkey and the thickened milk. Heat through, taste, and adjust seasoning if needed. Serve warm.