A sleeve device, system and method are provided for restricting and/or constricting aneurysms. More particularly, a sleeve and/or a double-walled sleeve is located in or on a vessel in the location of an aneurysm. When placed around the outside of a vessel, is used to restrict and/or constrict the aneurysm containing portion of the vessel. If desired, the sleeve may be constructed as a double-walled sleeve that can be inflated to apply pressure to and/or in the vessel.