The present disclosure relates to aerosol delivery devices, methods of forming such devices, and elements of such devices. In some embodiments, the present disclosure provides devices configured for vaporization of an aerosol precursor composition that is stored in and/or transported to a heater by a porous monolith, which can be, for example, a porous glass or a porous ceramic. A heater can be in a heating arrangement with an external portion of the porous monolith or can be substantially internal to the porous monolith.