If youre doing CD properly (no sauces, garlic etc) the only thing that would stop you would be the carb content of the veg. If you're finding it hard to get into keto, try limiting the veg quite strictly - the book says 3 tablespoons or 45g and that isn't a lot.
It's harder to get into ketosis than to stay in it, so once you know you're in ketosis you could brobably be a little more generous.