Disclosed is a hot-gas-conducting housing element for a hot-gas-conducting housing of a gas turbine system encompassing a compressor, a turbine, and a turbine rotor. The hot gas-conducting housing element is embodied so as to surround a protective shaft jacket placed around the turbine rotor and conduct a hot gas to the turbine. The hot gas-conducting housing element comprises: — at least one hot gas inlet; — an opening facing the turbine; — a section for conducting the hot gas from the at least one hot gas inlet to the opening facing the turbine, said conducting section being provided with an inner housing hub which is configured so as to surround the protective surface facing the protective shaft jacket. Said rib extends in the circumferential direction, protrudes from the circumferential surface, and is disposed in the zone of the circumferential surface bordering the opening that faces the turbine. The rib and/or the inner housing hub is/are fitted with cooling fluid ducts.