A sealing arrangement (100) in an axial turbomachine between, on the one hand, a rotor (1) and, on the other hand, a stator (3) and/or a housing, including a support device (7, 7′) and a sealing element, whereby the support device (7, 7′) extends essentially in the radial direction (r). In the axial direction (u) of the turbomachine, the support device (7, 7′) has an axial contour that effectuates a stiffening effect for the support device (7, 7′).