A method and apparatus is provided to enable provision of requested data within two clock cycles when performing a swap operation between an accessible memory cell and a background memory in a computer. In a first clock cycle, memory addresses to be used in the swap operation are decoded. In a high phase of a second clock cycle, requested data is restored from the background memory to an accessible memory cell. Because the data previously stored in the accessible memory cell is duplicated in a shadow memory cell, the restoration of data to the accessible memory cell is performed without data loss. In a low phase of the second clock cycle, the requested data is available for reading. During a third cycle, data is saved from the shadow memory cell to the background memory, and the shadow memory cell is made consistent with the accessible memory cell.