Heat a large Dutch oven over low-medium heat. Keep the temperature at or under 350 degrees so that the olive oil does not smoke.
Once the Dutch oven is hot, add the olive oil, carrots, celery, and onion. Cook for 2-3 minutes, stirring frequently.
Add Italian seasoning, dill, thyme, salt, and pepper, and stir will to incorporate with the vegetables.
Add in the garlic and stir frequently for 1-2 more minutes - just until the vegetables have softened and the onions are translucent.
Add turkey broth, chopped turkey, and bay leaves. Bring to a gentle boil, then reduce to a simmer. Cover and cook for 30 minutes, stirring occasionally.
Pour in 1 cup of water, then add the orecchiette and navy beans. Bring back to a low boil and cook for 12-15 minutes, stirring occasionally, until pasta is tender
Remove bay leaves, taste, and adjust seasoning as needed. Serve hot with a sprinkle of Parmesan and a slice of crusty bread.