Abstract: The invention relates to a laser processing machine for selectively processing plate-like or pipe-like workpieces, including: a displacement device to which a workpiece table for supporting a plate-like workpiece can be secured in order to move the workpiece table into and out of a processing range of the laser processing machine and a handling device for handling a pipe-like workpiece when the pipe-like workpiece is processed in the processing range, the handling device having at least one support device for supporting the pipe-like workpiece during the processing operation. The support device can be moved in a controlled manner in the longitudinal direction (X) of the pipe-like workpiece over at least 20% of the processing range. The invention also relates to methods for retrofitting laser processing machines from processing plate-like workpieces to processing pipe-like workpieces.