That's what I thought as well concerning the eligibility date.
What if the company is in the process of responding to the FMLA request when the employee indicated the baby may come before their eligbility date. If they say yes you're eligible based on the condition and the original estimated delivery date, yet the baby comes and leave is taken before said eligibility date, is the company required to honor the FMLA request? And if not do they have to reissue a FMLA determination to the employee?

