The invention relates to a compression unit adapted to be arranged around a patients forearm to provide pressure to a radial artery puncture site, wherein the compression unit comprises a unit attachment band provided with a frame, and a compression element in the shape of an inflatable bladder, the compression element is further adapted to be arranged within said frame, such that when the compression unit is arranged around a patients forearm, the compression element provides pressure to the puncture wound when the compression element is inflated. The invention also relates to a radial artery compression system.