The connector for a fluid line of an extracorporeal circuit comprises atubular body (70) which internally defines a fluid passage (71), a firstconnection port (72) predisposed for coupling to the fluid line, a secondconnection port (73) predisposed for coupling to a male Luer connector borneby an external element (8), a closure element (74) of the second connectionport. The closure element (74) is formed of a breakable membrane made in asingle piece with the tubular body. On coupling, the membrane is broken by thetruncoconical projection (80) of the male Luer connector. The connectorconnects a service line of an extracorporeal circuit to a pressure sensor of adialysis machine.
