The present invention relates to a capillary composition including: an oil phase including Abyssinian kale oil, a mixture of surfactants including sodium trideceth sulfate and sodium lauroamphoacetate, a cationic compound including at least one compound of either a polymeric type or surface-active type.La présente invention concerne une composition capillaire comprenant : -une phase grasse comprenant de lhuile de crambe dAbyssinie -un mélange de tensioactifs comprenant du sodium trideceth sulfate et du sodium lauroamphoacetate -un composé cationique comprenant au moins un composé soit de nature polymérique soit de nature tensioactive.