And, while cheese is encouraged on the keto diet as it’s pretty low-carb and high-fat, milk is higher in carbs and lower in fat. So, the question is, can you drink milk on the keto diet? If none of the alternatives are doing the trick, go for a cup of whole milk because while it has the same carb count as the other dairy options, it is the highest in fat, so you’ll at least contribute to your high-fat quota for the day.