In one embodiment, a system includes a turbine combustor of a turbine system with the turbine combustor at least partially enclosed within a compressor discharge casing. The turbine system also includes an exhaust gas recovery system that includes an exhaust gas recirculation duct. The exhaust gas recirculation duct is configured to recirculate exhaust gas from a downstream end of the turbine combustor to an upstream end of the turbine combustor. This exhaust gas recirculation duct is entirely enclosed within the compressor discharge casing.