Heat a large pot or saucepan over medium heat with a tablespoon of oil. Add the ground beef and cook until no longer pink. Use a wooden spoon to break up the meat into small pieces. If there's any excess fat, remove it with a wooden spoon and discard.
Add the onion, garlic, thyme, bay leaves, and creole seasoning, and cook, constantly stirring, until onions wilt and beef browns slightly.
Stir in carrots and celery.
Add the tomatoes with their liquid, potatoes, tomato paste, beef bouillon, and Worcestershire sauce. Stir to combine.
Pour in beef broth, water, salt, and pepper (to taste).
Bring to a low boil. Reduce heat and simmer for 20 minutes, stirring occasionally or until the potatoes are tender. If sauce gets too thick, add ½ cup water. Make sure the sauce doesn't get too thick.
Add green peas and continue cooking for about 2-3 minutes or until heated through.
Adjust the thickness of soup and seasonings with more liquid and seasonings (optional).
Top with parsley. Serve hot.