A connector to reduce a fluid volume when mating with a counterpart is disclosed. The connector includes a connector body having at least a conical body sector with a sealing surface configured to mate with the counterpart to seal this joint, and a recess inside the connector body and at least partly inside the conical body sector, the recess having a first opening and a second opening. The connector also includes a tube for a fluid flow, the tube extending through the second opening into the recess towards the first opening. The tube is configured to extend through the second opening at least to such a part of the recess, which is inside the conical body sector.
