An access port includes a first and a second resilient element, each having a first face and a second face. A first slit and a second slit are defined in the first and second resilient elements, respectively. The first face of the first resilient element abuts the first face of the second resilient element. The lengthwise direction of the second slit is transverse to the lengthwise direction of the first slit. The first and second resilient elements are configured to assume at least a first position wherein the first and second slits are substantially closed, thereby preventing a passage of a fluid therebetween and at least a second position wherein a member projects through the first and second slits, thereby allowing the member to pass through the access port.