The disclosure relates to a road finishing machine with a chassis and a pushing device. The pushing device comprises at least one docking assembly and at least one absorber unit. The absorber unit is fixed to the chassis of the road finishing machine and comprises at least one piston-cylinder unit which comprises a cylinder and a working piston movable therein which subdivides the piston-cylinder unit into at least one first and one second chambers and is coupled to the docking assembly. The docking assembly may be positioned, by the movably mounted working piston, relative to the chassis between an extended position and at least one retracted position. In the piston-cylinder unit, at least one flow channel is provided between the first and the second chambers for letting a fluid enclosed in the piston-cylinder unit pass through, the fluid being prestressed in the extended position.