Constitutional Reform and Governance Bill

As matters stand, I understand that one does not even have to be a national of this country to be a Member of the House of Lords; one can be a Member as a Commonwealth citizen. On that basis, some Members of the House of Lords might even originate from Commonwealth countries and have never been UK domiciled. Although this is a hypothetical matter, I can think of a number of Government appointees who might fall into that category. I want to understand how they will put their affairs in order if they wish to opt to remain in the House of Lords: what procedural mechanism will be required for that?