A scraper device for a milling drum mounted in a construction machine at a machine frame between lateral walls with a milling drum axis, with a two-part scraper blade arranged in a height-adjustable fashion behind the milling drum when seen in the direction of travel, the lower part of which can glide over the ground surface milled off by the milling drum, where the lower part of the scraper blade is adjustable in height when in operating position, it is provided that the upper part of the scraper blade is attached, at the upper end, to swivel about a swivelling axis parallel to the axis of the milling drum.