A tool holder includes a receiving body, an interface at the rear for receiving the tool holder in a machine tool, a receiving section at the front for the tool, and a coolant bore arranged between the interface and the receiving section and by which coolant is conducted from the interface to the receiving section. The coolant bore has a first region with an adjoining second region. A coolant tube is arranged in the first region of the coolant bore. In the direction of the receiving section, between the coolant tube and the second region of the coolant bore, a cavity is formed in the receiving body or in the first region. A bridging element through which the coolant can flow and which seals the coolant flow in relation to the cavity is arranged in the cavity between the coolant tube and an interface-side end of the second region.