An aseptic connector comprises a first member and a second member. The first member preferably includes a resilient septum, and the second member preferably includes a penetrating member. Preferably, the septum is formed from an elastomeric material such as a silicone elastomer. The penetrating member preferably includes an extending penetrating element to penetrate the resilient septum. The aseptic connector further comprises a resilient sealing element that contacts the penetrating member and one of an inner wall of the first member and an inner wall of the second member to create a seal between the penetrating member and one of the inner wall of the first member and the inner wall of the second member. The seal created is suitable to withstand relatively high pressures (for example, those experienced during the injection of contrast media in CT procedures). A fluid delivery system comprising at least a first aseptic connector as described above is also provided.