Multi-rank memories and methods for self-refreshing multi-rank memories are disclosed. One such multi-rank memory includes a plurality of ranks of memory and self-refresh logic coupled to the plurality of ranks of memory. The self-refresh logic is configured to refresh a first rank of memory in a self-refresh state in response to refreshing a second rank of memory not in a self-refresh state in response to receiving a non-self-refresh refresh command for the second rank of memory.