The multilayer structure (1) for volatile substances diffusers comprises a semi-permeable layer (2) that can be in contact with the volatile substances and a barrier layer (3) to prevent the diffusion of the volatile substances before its removal from the multilayer structure (1), and it is characterized in that it also comprises a tear layer (4) placed between the barrier layer (3) and the semi-permeable layer (2), which permits the separation of the barrier layer (3) from the semi-permeable layer (2) when the barrier layer (3) is removed from the multilayer structure (1). It permits a suitable interface strength between the barrier layer and the semi-permeable layer, which permits to remove easily and securely the barrier layer from the semi-permeable layer.