Abstract: A connection, preferably for use in a medical environment, for joining a rigid circular port from a medical machine to an elastomeric hose cuff having a medical hose extending therefrom. The rigid cuff has an external annular bead formed at its outward end while the elastomeric hose cuff has an internal annular bead formed at its distal end. When the components are coupled together by sliding the hose cuff over the rigid port, a double seal is formed between the various annular beads and the surfaces of the component to provide a substantially leakproof seal between the elastomeric hose cuff and the rigid port to prevent gasses from escaping to the surrounding environment.