Senior Oversight Committee Extension Act of 2008 - Directs the Secretary of Defense and the Secretary of Veterans Affairs to jointly: (1) take whatever actions are appropriate, including the allocation of appropriate personnel, funding, and other resources, to continue until September 30, 2011, the operations of the Senior Oversight Committee jointly established by those secretaries to address concerns related to the treatment of wounded, ill, and injured members of the Armed Forces and veterans; and (2) report to Congress on the advisability of continuing the committee after that date.