A conductive heat transport cooling system and method are provided for cooling primary and secondary heat generating components of an electronics system. The cooling system includes a liquid-based cooling subsystem including at least one liquid-cooled cold plate physically coupled to at least one primary heat generating component of the electronics system, and a thermally conductive coolant-carrying tube coupled to and in fluid communication with the at least one liquid-cooled cold plate. A thermally conductive auxiliary structure is coupled to the coolant-carrying tube and to at least one secondary heat generating component of the electronics system. When in use, the thermally conductive auxiliary structure provides conductive heat transport from the at least one secondary heat generating component to the at least one thermally conductive coolant-carrying tube coupled thereto, and hence via convection to liquid coolant passing therethrough.