A head structure for a lapping assembly including a lapping control feature is disclosed. The lapping control feature includes a raised contact surface elevated from a front surface of the head structure of the lapping assembly. A relative position of the workpiece and raised contact surface are aligned to control workpiece thickness and other lapping parameters. In illustrated embodiments, the relative position of the workpiece and raised contact surface are aligned via an adjustment mechanism on the head structure. In illustrated embodiments, the adjustment mechanism is configured to adjust a position of the workpiece relative to the raised contact surface.