In a large pot over medium heat, heat coconut oil. To the pot, add the thyme, leeks and garlic and cook for 5 minutes. To the pot, add the ground beef and cook for 10 minutes, chopping up beef into small pieces with spoon.
To the beef, add the remaining ingredients (broth through cumin) and reduce heat to low. Cook soup for 20 minutes, until beef is cooked through and vegetables are tender.