A progressing cavity gas pump with a stator which has a stator interior with an elastomeric inner surface as well as a gas outlet and a gas inlet, between which a pump delivery direction is defined, and with a rotor which engages with the stator interior, wherein below the stator, a lubricant reservoir is arranged which is connected via lubricant conduit devices to the stator interior. A progressing cavity gas pumping method using a progressing cavity gas pump, gas coming from a gas inlet is delivered with a rotationally driven rotor within a stator and through a stator interior having an elastomeric inner surface to a gas outlet and is compressed, and wherein from a lubricant reservoir below the stator, a lubricant supply to the stator interior takes place via lubricant conduit devices, and lubricant from the stator interior is recycled via the lubricant conduit devices into the lubricant reservoir.