In a self-propelled road milling machine for processing road surfaces, with a machine frame supported by a height-adjustable chassis, with a milling drum mounted to rotate in a milling drum housing, with a milling drum drive for the milling drum, and with a height-adjustable scraper blade in the milling track of the milling drum, said scraper blade closing the milling drum housing towards the rear, it is provided for the following features to be achieved: that the scraper blade, laterally in the milling track of the milling drum, lies resiliently against the milling edge of the milling track, said milling edge extending orthogonal to the road surface.