Embodiments relate to storing data to a system memory. An aspect includes accessing successive entries of a cache directory having a plurality of directory entries by a stepper engine, where access to the cache directory is given a lower priority than other cache operations. It is determined that a specific directory entry in the cache directory has a change line state that indicates it is modified. A store operation is performed to send a copy of the specific corresponding cache entry to the system memory as part of a cache management function. The specific directory entry is updated to indicate that the change line state is unmodified.