Proposes to amend the Legislature Article of the Illinois Constitution. Provides that, when the House of Representatives or the Senate convenes in veto session, it may consider only the following legislative measures: bills that have been vetoed by the Governor; bills that have been returned by the Governor with specific recommendations for change; items of appropriation that have been reduced or vetoed by the Governor; and motions, messages, notices, and resolutions. Effective upon being declared adopted in accordance with Section 7 of the Illinois Constitutional Amendment Act.