An extracorporeal blood treatment machine for carrying out a blood treatment including a machine front on which a hollow fiber filter module is arranged in a horizontal position, which hollow fiber filter module includes a cylindrical housing, a blood chamber having a blood inlet nozzle and a blood outlet nozzle and a solution chamber having a solution inlet nozzle extending transversely to the longitudinal direction of the hollow fiber filter module and a solution outlet nozzle extending transversely to the longitudinal direction of the hollow fiber filter module, the solution chamber being semi-permeably communicated at least in portions with the blood chamber, wherein a height potential is present in the horizontal position between the solution inlet nozzle and the solution outlet nozzle so that drainage of solution is enabled via one of the solution nozzles and evacuation of air bubbles is enabled via an other of the solution nozzles.