Would you restrict your dog/cat to come near your newborn?

Nah, my dog was super protective when I brought my newborn home. She don’t let anyone to go near to her except us (her parents), she sleeps beside my nb when she’s napping. I do afraid my dog will accidentally hurt my nb too, I will watch them when they are close to each other but my dog is a small dog, I will prolly be stricter with my dog if she’s bigger in size.