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