Leeks have a lot of health benefits ranging from improved digestion and reduction of inflammation to healthier skin, teeth and eyes. Traditional leek soup uses heavy cream, heavily processed vegetable oil and often is garnished with sour cream..ingredients that are much less healthy. A better idea for a healthy leek soup is to use vegetable stock, omit the dairy and replace the starchy potatoes with cauliflower. This cauliflower and leek soup is still rich and creamy, totally satisfying and a great alternative to the traditional recipe.