Heat oil in a large stock pot or Dutch oven over medium heat. Add leeks, carrots, garlic, and celery and saute 4 minutes, until soft. Add turkey, bay leaves, thyme, salt, and black pepper and stir to mix well. Add chicken broth and bring mixture to a boil. Reduce heat to medium-low, partially cover and simmer 10 minutes.
Return mixture to a boil and add egg noodles. Cook 10 minutes, until egg noodles are just tender. Stir in peas and cook until peas are just heated through, about 1 minute.
Remove from heat, discard bay leaves and stir in parsley.