The present invention concerns a pet cushion comprising an external cover (1) forming an external envelope designed to be in contact with the animal and a filling structure (2) surrounded and covered partially or totally by said cover. The filling structure (2) comprises loosely distributed cork granules (3) each having an angular, non-smooth or non-round profile allowing the animal to naturally and instantly shape a temporary imprint in the cushion adapted to its morphology and to its outline in order to lie in the latter. The invention also concerns an assembly consisting of such a cushion and a tray forming a rim.