Yes, it is completely safe to have mozzarella cheese made with pasteurized milk. It can be a healthy addition to your pregnancy diet. Being a dairy product, mozzarella cheese is a good source of calcium. Calcium is essential for your baby’s teeth and bone development. Mozzarella is also rich in protein, which helps in cellular growth and muscle development in your child. But, it is recommended that you opt for low-fat or part-skimmed mozzarella to keep your intake of saturated fats in check.