A thermal turbomachine, an axial flow gas turbine (10) in particular, includes a rotor (16), which at its exit side is supported on a bearing (15), which is situated on a bearing saddle (14) within an annular inner part (11) of an exhaust casing, the bearing saddle (14) being supported on a foundation of the machine by means of a spring support (25). In such a turbomachine, the stiffness of the bearing support is improved or restored by attaching the bearing saddle (14) to the inner part (11) of the exhaust casing by a spring-loaded bolted connection (19, . . . .,22).