A system, in certain embodiments, includes a housing running tool including an inner sleeve having a first mating surface configured to engage a second mating surface of a housing to rigidly couple the inner sleeve to the housing. The housing running tool also includes an outer sleeve disposed about the inner sleeve and configured to support the inner sleeve in an axial direction. The outer sleeve includes a first mounting feature configured to engage a second mounting feature of the housing such that substantially all torque applied to the housing running tool in a circumferential direction is transferred to the housing via the outer sleeve.