Compression device (1) for application circumferentially around a patient's limb (10), comprising a) a first band portion (20a) and a second band portion (20b), both band portions (20) being arrangeable along at least a part of the circumference of the limb for creating radial pressure on the limb, b) a spine element (30), extending in axial direction (100) when the compression device is applied around the limb, and comprising a first and a second guide opening (40a, 40b) for guiding the first and the second band portions, respectively. The guide openings (40a, 40b) are arranged offset in axial direction with respect to each other such that, when the first band portion is arranged along at least a part of the circumference of the limb and guided through the first guide opening, and the second band portion is arranged along at least a part of the circumference of the limb, parallel to the first band portion, and guided through the second guide opening, the band portions overlap in an axial direction.