The present embodiments provide a system that supports self-refreshing operations in a memory device. During operation, the system transitions the memory device from an auto-refresh state, wherein a memory controller controls refreshing operations for the memory device, to a self-refresh state, wherein the memory device controls the refreshing operations. While the memory device is in the self-refresh state, the system sends progress information for the refreshing operations from the memory device to the memory controller. Next, upon returning from the self-refresh state to the auto-refresh state, the system uses the progress information received from the memory device to control the sequencing of subsequent operations by the memory controller.