Some states have passed laws requiring hospitals to report nursing-related data.
The bill she plans to introduce on Thursday would require employers and hospitals to tell women if they are not covered.
But critics say this would require patients, doctors, hospitals and insurers to go through a new level of bureaucracy before getting to the Federal courts.
Premier requires departing hospitals to wait five years before removing their capital, which can be several million dollars for large hospital networks.
Since 1986, the Government has required hospitals to provide emergency care for anyone who needs and requests it.
Federal law requires hospitals with emergency rooms to accept critically ill patients and women in active labor.
Before the mandatory disclosure began this month, the state had already required hospitals to ask women whether they wanted to know the test results.
"The state requires hospitals by law to provide a service, and they haven't paid for it," said Gary Carter, the president of the hospital association.
Since 1985, the state has required hospitals to report what are known as "adverse events."
Her organization's efforts have led to legislation in more than 25 states requiring hospitals to report infections.