A male luer medical connector includes a needle having a distal portion with a hole opening and contained in the cavity of a resilient seal. The needle has, apart from its distal portion, an additional hole. The seal and needle are shaped so that when the connector is connected, the compressed seal forms with the needle, immediately upstream of the upper level of the additional hole, 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 seal is released the cavity contains fluid when the lateral hole opening into the needle is sealed, and the portions of the seal, downstream and upstream of the cavity respectively, as well as the additional hole, are shaped so the downstream portion closes a lateral hole while the same cavity continues to discharge the fluid into the needle.