THE INVENTION RELATES TO A CONNECTOR (5) FOR CONNECTING TO A STANDARDIZED LUER TAPER (15) OR LUER-LOK CONNECTOR HAVING A CONICAL REGION (20) DESIGNED FOR CONTACTING THE CONICAL CONNECTING SURFACE (25) OF THE STANDARDIZED LUER TAPER (15) OR LUER-LOK CONNECTOR, AND A SEAL (45) DISPOSED ON THE CONICAL REGION (20). THE MOST ILLUSTRATIVE DRAWING IS FIG. 5.