1. A laser machining head for machining a workpiece by means of a laser beam comprising: a housing having an inlet opening and an outlet opening between which a passage for the laser beam is constructed through which a pathway for the working beam is led; focusing optics for focusing the laser beam into a working focus which is located outside the housing at a distance from the outlet opening; a sensor arrangement having a sensor module arranged in a side wall of the housing beside the laser beam passage; and a beam deflecting device which directs radiation coming from a zone of interaction determined by the working focus onto sensors of the sensor arrangement so that at least a portion of the radiation can be detected for monitoring the machining of a workpiece.