Although it may be lower in calories and have more healthy fats, almond milk and other nut milks have some nutritional shortfalls. For example, a cup of 1% fat cow's milk contains 8g of protein, but hazelnut milk has only 2g, and cashew and almond milk might contain 1g or less. And there's another potential downside. Certain sweetened cashew and almond milks contain almost two teaspoons – two teaspoons – of added sweeteners per cup.