01 - Heat a drizzle of oil in a large pot or Dutch oven over medium heat. Add diced onion, carrots, and celery. Sauté for 5–6 minutes until softened.
02 - Stir in minced garlic and cook for 1 minute, stirring frequently to prevent burning.
03 - Add split peas, potato (if using), bay leaves, thyme, black pepper, and smoked paprika. Mix well to distribute spices evenly.
04 - Place smoked turkey leg into the pot. Pour in broth and water. Stir to combine all ingredients.
05 - Bring to a boil, then reduce heat to low. Cover and simmer for 1 hour, stirring occasionally to prevent sticking.
06 - Remove lid and continue simmering uncovered for 20–30 minutes, or until peas and vegetables are very tender and soup has thickened to desired consistency.
07 - Remove turkey leg from pot. When cool enough to handle, shred meat, discarding skin and bones. Return shredded meat to soup.
08 - Taste and adjust seasoning with salt if needed. Remove and discard bay leaves.
09 - For smoother texture, partially blend soup with immersion blender, or leave chunky as preferred.
10 - Ladle into bowls, garnish with parsley if desired, and serve hot with bread or croutons.