Peel, wash and cut the potatoes into pieces. Clean, wash and drain the Brussels sprouts. Heat oil in a pot. Steam potatoes and sprouts for about 3 minutes. Deglaze with broth, bring to the boil and cook on low heat for 15-20 minutes.
In the meantime clean the carrot, peel it and cut it into sticks. Add about 5 minutes before the end of the cooking time. Slice the sausages and add to the soup at the end. Season to taste with salt, pepper and nutmeg.
Wash parsley, dab dry and chop finely. Arrange the soup on a plate and serve sprinkled with parsley.