The medical instrument (10) has an instrument head (12), and a supply line (14) that comprises a fluid line for supplying a fluid and a jacket (23). The fluid line is configured to extend through an interior space of the jacket. A male instrument connector (11) is provided with a face, and a male fluid connector is in fluid communication with the fluid line arranged on the face. A venting opening is in communication with the interior space of the jacket arranged on the face of the male fluid connector.