A connector comprised of a body having a fluid passageway extending therethrough, wherein a first fitting is formed at a first end of the body and a second fitting is formed at a second end of the body, an opening formed in the body that is in communication with the fluid passageway, and a pressure relief valve element located in the opening. In one embodiment, the connector is an elbow connector having a tube fitting and a male (Luer) conical lock fitting. The connector is particularly well suited for connecting fluid supply lines with medical devices where the pressure level in the fluid supply line may need to be reduced due to an overpressurization condition.