Can you use lactose-free milk when making a broccoli cheese sauce?

It is possible to make lactose-free broccoli cheese sauce by replacing dairy products with 3/4 cup of unsweetened canned coconut milk and 3 tablespoons of lemon juice thickened with 1 to 2 tablespoons of arrowroot powder.

Two tablespoons of nutritional yeast and half of a finely grated carrot can provide cheese flavor and color.

To make a dairy-free cheese sauce, melt 1 tablespoon of dairy-free margarine in a saucepan and blend in 1 tablespoon of all-purpose flour, 3/4 cup of dairy-free unflavored milk, and salt and pepper to taste. After the sauce begins to thicken add 1 cup of shredded cheddar-flavored non-dairy cheese alternative and heat through before pouring sauce over steamed broccoli or cauliflower.