An apparatus for producing a glass workpiece includes: a device configured to heat a glass until it softens; an inner molding tool configured to mold inner lateral surfaces of the workpiece; an outer molding tool configured to mold outer lateral surfaces of the workpiece, the outer molding tool having a shaping roller with a shaping surface; an accommodating device configured to accommodate the shaping roller, the shaping roller being mounted in a freely rotatable manner in the accommodating device and is fixable during a shaping process by a lockable locking device, the shaping roller being locked with a releasable connection such that the shaping roller can be released and rotated through an angle α in the locking device between individual shaping processes; and an apparatus configured to apply a lubricating oil to the shaping surface of the shaping roller and having an outlet opening configured to dispense the lubricating oil.