A hydrodynamic torque converter is designed with a lock-up clutch which comprises a piston which can be extended in the axial direction and can be connected by at least one friction lining to the converter housing. The friction lining is designed with a multiplicity of depressions for the flow of hydraulic fluid, preferably oil, from the converter circuit, whereby the depressions extend between the radially outside edge and the radially inside edge of the friction lining in the circumferential direction at a specified angle, with a changing radial distance from the axis of rotation of the friction lining. Each depression changes its longitudinal direction between each inlet and outlet for the oil at least once, so that its radial component is oriented opposite to its orientation before the change.