In a texture curing machine for the subsequent treatment of freshly produced concrete layers of a predetermined width, in particular concrete roadways extending longitudinally in the direction of travel, comprising a machine frame supported by ground-engaging units, with no less than one texturing device movable transverse to the working direction for applying a texture, by means of multiple texturing tools, into the not yet hardened surface of the concrete layer, and with a controller unit for adjusting the travelling speed in the direction of travel, it is provided for the following features to be achieved: the controller unit captures the travelling speed and/or the traversing speed of the texturing device and, during forward or reverse travel, controls the travelling speed and/or the traversing speed of the texturing device in transverse direction in accordance with a specified texturing angle, with the texturing angle ensuing from the relation of the speeds.