A soothing garment for a pet includes an elongated body portion adapted to be wrapped around the torso of the pet, the body portion including flaps at the opposite ends of the elongated body portion with a fastener array for removable engagement of the flaps around the animal's torso. The body further includes a pair of forward flaps arranged to encircle the neck of the animal when the body portion is wrapped around the animal's torso. The garment includes an active compression mechanism disposed within the elongated body portion that includes an array of shape memory alloy (SMA) wires and a controller for selectively activating the SMA wire array to reduce the length of the wire to thereby apply compression to the torso of the pet.