Before baby rabbits are born, the mother's fur grows quite thick. She then pulls it out to create a soft, warm and cozy nest. This is where she will deliver the babies and nurse them. A female rabbit has two lobes to her uterus, which makes it possible to carry two litters of different gestational ages at the same time. Baby rabbits are odorless, allowing them to go undetected from predators.... rabbits are born without fur, and their eyes do not open until they are about 2 weeks old.