A sealing interface forms part of an apparatus for supplying a flow of respiratory gases to a user. The sealing interface comprises a foam or gel inner cushion and a thin resilient rubber outer sheath. A face side of the inner cushion resiliently supports the outer sheath. The inner cushion has a toothed profile formed on the face side of the inner cushion. The toothed profile consists of at least one tooth having an apex on the perimeter of the inner cushion. The apex is positioned between two valleys in the perimeter of the inner cushion. In use the apex of each tooth of the toothed profile is in supporting contact with the outer sheath.