A surgical system drape includes: a sheath having an interior cavity sized to cover a portion of a surgical system manipulator; an adaptor coupled to the sheath and including a manipulator interface and an instrument interface, the manipulator interface configured to couple with a drive interface of the manipulator, the instrument interface being configured to couple with a drive interface of a surgical instrument mounted to the manipulator; and a fluid conduit coupled to the sheath and extending within the interior cavity of the sheath, the fluid conduit configured to receive a flow of cooling fluid at a fluid port and convey the fluid along the interior cavity of the sheath to cool a component of a portion of the manipulator.