A pair of stretchable therapeutic sleeve embodiments for slipping over a human limb such as a leg, an arm, or a foot. They each have a primary tubular member made of stretchable material and they are used in combination with a cool or hot pack for either cooling or heating a particular body member. One embodiment has a pocket wall secured to the inner surface of the primary tubular member for removably receiving the hot or cool pack. The other embodiment requires a hot or cool foot pack having a specific configuration that is positioned over a liner sleeve and inside the primary tubular member.