No, the FMLA does not cover insomnia. FMLA covers time off work to look after and care for a family member. The FMLA will not cover you for catching up on your sleep instead of looking after a family member.  The regulations of the FMLA do not state that an employee is eligible to take time off their work schedule to sleep. The FMLA considers insomnia as an insufficient basis for coverage for employees.