An air spring module including an air spring and a shock absorber for springing and damping vibrations of a motor vehicle chassis, including—at least two working chambers filled with compressed air and connectable via at least one valve, an air spring cover, a rolling bellows fixed to the air spring cover in an air-tight manner and at least partly delimits a first working chamber filled with compressed air, and a rolling piston, which is fixed to a cylindrical tube of the shock absorber and on which the rolling bellows rolls. A second and a third working chamber are arranged one above the other in the rolling piston so as to surround the cylindrical tube. The working chambers are separated from each other by an intermediate floor provided in the rolling piston and can be connected to the first working chamber via switchable valves arranged in the rolling piston.