A chemical mechanical polishing system includes a substrate support configured to hold a substrate during a polishing operation, a polishing pad assembly include a membrane and a polishing pad portion, a polishing pad carrier, and a drive system configured to cause relative motion between the substrate support and the polishing pad carrier. The polishing pad carrier includes a casing having a cavity and an aperture connecting the cavity to an exterior of the casing. The polishing pad assembly is positioned in the casing such that the membrane divides the cavity into a first chamber and a second chamber and the aperture extends from the second chamber. The polishing pad carrier and polishing pad assembly are positioned and configured such that at least during application of a sufficient pressure to the first chamber the polishing pad portion projects through the aperture.