A transport structure for accommodating a plurality of vials for pharmaceutical, medical or cosmetic use under non-sterile conditions is formed by an accommodation member and by a bearing member releasably connected thereto. The accommodation member comprises a plurality of frustro-conical receptacles in a regular arrangement so that the vials can be accommodated upright and while preventing a direct contact between adjacent vials in the receptacles of the accommodation member. The transport structure comprises latching structures for releasable latching of the accommodation member with the bearing member. According to the disclosure, the receptacles are matched to the height of the vials in such a manner that the vials can be completely accommodated therein, wherein the bearing member is formed by a base plate having a flat supporting surface facing the receptacles, so that the vials can be freely displaced on the supporting surface of the base plate after releasing the latching and can be pushed from the bearing member by displacement of the accommodation member relative to the bearing member. The accommodation member and/or the bearing member can be formed in one piece by thermoforming a plastic material, in particular by deep-drawing a thin film or a thin film plate.