Cut the rabbit into 6-8 pieces, wash and pat dry. Season with salt and pepper. Heat the oil in a roasting pan and fry the rabbit parts thoroughly all around. Peel and chop onions and garlic.
Clean, wash and cut the celery into pieces. Carve tomatoes crosswise and blanch hot and peel the skin. Cut the flesh into small pieces. Remove rabbit parts from the roaster. Fry onion, garlic and celery in the frying fat.
Add rabbit again. Add wine and chicken soup. Wash the thyme and pluck small stems from the branch. Add tomatoes, bay leaves and thyme and braise in a closed roaster for about 45 minutes.
Season to taste with salt, pepper and nutmeg. Wash parsley, dab dry and chop. Sprinkle over the braised rabbit.