; and (B) makes a sufficient showing to the satisfaction of the Secretary of Homeland Security that the alien is otherwise eligible for such protection. ; (5) by amending subsection (e) to read as follows: (e) Eligibility (1) Prior grant of voluntary departure An alien shall not be permitted to voluntarily depart under this section if the Secretary of Homeland Security or the Attorney General previously permitted the alien to depart voluntarily. (2) Rulemaking The Secretary may promulgate regulations to limit eligibility or impose additional conditions for voluntary departure under subsection (a)(1) for any class of aliens. The Secretary may by regulation limit eligibility or impose additional conditions for voluntary departure under subsections (a)(2) or (b) of this section for any class or classes of aliens.