The invention relates to a device (100) for an additive manufacture. The device (100) comprises a laser device (110) for machining material using a laser beam (112), said laser device (110) being designed to deflect the laser beam (112) onto a machining region of a workpiece (10); at least one supply device (130) for a supply material, said supply device being designed to supply the supply material to the machining region; and an interferometer (140) which is designed to measure a distance to the workpiece (10) by means of an optical measuring beam (142).