Are you eligible for life insurance through your employer? If so, delivering the baby is considered a "life event" and you can change your enrollments to add life insurance as a temporary coverage. Then, you can shop around for a personal policy after you deliver.
You might want tp shop around using an independent insurance broker- you can probably find a policy to cover you while you're pregnant, it might just be a lot more pricey and not cover complications of child birth, but you could probably drop the policy and shop for a better one after LO is here.