A hybrid compression garment comprises a sleeve adapted for placement on a limb of a person for applying static compression to the limb. A connecting device on the sleeve enables releasable connection of the sleeve to a machine. The machine is independent of the sleeve and operable to transmit, through the connecting device, a force to the sleeve that constricts the sleeve without inflating the sleeve to apply active compression to the limb. The connecting device is adapted for connection of the sleeve to the machine such that the sleeve can be used to apply active compression to the limb and adapted for disconnection of the sleeve from the machine such that the sleeve can be used to apply static compression to the limb. A method of applying compression to a limb of a person is also disclosed.
