A connector system includes a catheter connector port to attach to a urinary catheter, a urine exit port to connect to a urine collection device, an irrigation port to receive an irrigation syringe, and an internal valve. The irrigation port includes a pliable membrane that has a self-sealing opening to allow a tip of the syringe to extend therethrough. The internal valve cooperates with the syringe to shut off flow of fluid to the urine exit port when the syringe is inserted and allow for flow of fluid to the urine exit port when the syringe is removed. A distance between a proximal surface of the membrane and a distal end of the internal valve is such that the tip of the syringe can extend from a proximal end of the self-sealing opening to the distal end of the internal valve.