A study warns that parents are often given conflicting information about how to put their newborn to bed—information that can prove lethal, reports USA Today.

Staff can get fired at most hospitals for even mentioning bed sharing, McKenna said, but his research shows that large numbers of parents do it – usually without telling their doctor.

Parents, he said, “have every right to become fully informed” about how to co-sleep safely, by keeping the child away from pillows, blankets and cracks between mattresses and headboards.