Medical connector comprising a joint fixed to a chamber, the joint being provided at its centre with a needle extending into said chamber and opening into its terminal end, which has a section suitable for receiving, by friction, a male luer connector for the circulation of a fluid; the needle has a distal portion with at least one lateral hole opening into and contained in a cavity of a resilient seal having, in the thickness of its free end, a slit or a similar opening, the resilient seal being compressed when connected to uncover the distal portion of the needle and ensure the transfer of fluid, and released when disconnected, the needle having, apart from its distal portion, at least one additional hole, the resilient seal and the needle being shaped so that: - when the connector is not connected, at least one additional hole is closed by the resilient seal, and - when the connector is connected, at least one additional hole is not closed by the resilient seal; characterised in that the resilient seal and the needle are also shaped so that: - when the connector is connected, the resilient seal in the compressed state forms with the needle, immediately upstream of the upper level of the additional hole and only on the portion of the distance separating the said hole of the upstream end from the seal, a sealed cavity for receiving by way of passage in the additional hole a part of the fluid contained in the needle, and - when the resilient seal goes from the compressed state to the released state: • the cavity still contains fluid when the at least one lateral hole opening into the needle is sealed by the resilient seal, • the portions of the resilient seal, downstream and upstream of the cavity respectively, as well as the additional hole are shaped so that the downstream portion of the resilient seal closes at least one lateral hole while the same cavity continues to discharge the fluid contained therein into the needle. - when the connector is not connected, at least one additional hole is closed by the resilient seal, and - when the connector is connected, at least one additional hole is not closed by the resilient seal; - when the connector is connected, the resilient seal in the compressed state forms with the needle, immediately upstream of the upper level of the additional hole and only on the portion of the distance separating the said hole of the upstream end from the seal, a sealed cavity for receiving by way of passage in the additional hole a part of the fluid contained in the needle, and - when the resilient seal goes from the compressed state to the released state: • the cavity still contains fluid when the at least one lateral hole opening into the needle is sealed by the resilient seal, • the portions of the resilient seal, downstream and upstream of the cavity respectively, as well as the additional hole are shaped so that the downstream portion of the resilient seal closes at least one lateral hole while the same cavity continues to discharge the fluid contained therein into the needle. • the cavity still contains fluid when the at least one lateral hole opening into the needle is sealed by the resilient seal, • the portions of the resilient seal, downstream and upstream of the cavity respectively, as well as the additional hole are shaped so that the downstream portion of the resilient seal closes at least one lateral hole while the same cavity continues to discharge the fluid contained therein into the needle.