Abstract: A connector for medical devices (e.g., a syringe) allows tubing to be securely connected to a medical device output. Medical devices have male Luer lock ports for tubing connection. Tubing has a female Luer member with conical threads for leak-tight connection to a threaded male Luer member. Here, a first tubular connector member extends from a medical device output for axial fluid flow. A first connector body has a flange rearward of the outward end, and a nose end that tapers radially inwardly toward the outward end. A second tubular connector member is coaxial with the first connector member. An axially divergent portion of the second connector acts as a sheath for the nose end of the first connector, with a first end surrounding a portion of the first connector and with a second flange forward of the first end abutting the first flange of the first connector.