A turbine housing for an exhaust turbocharger is configured for receiving a turbine wheel rotatable about an axis. The housing includes an exhaust gas inlet, an exhaust gas outlet pointing in an outlet direction, and a single-flow, spiral exhaust gas routing. The routing has a volute and a volute outlet gap configured so that exhaust gas flows from the volute to the wheel. The routing is fluidically connected to the inlet and is defined by an internal wall of the housing. The volute has a portion which encircles the axis and has a convexity of the internal wall. The convexity, counter to the outlet direction, extends beyond the volute outlet gap. Further, sectional faces, through which the axis runs, each have a volute contour with a straight linear portion. The linear portion, conjointly with the axis, defines an angle facing the outlet that is less than or equal to 90°.