A system and method for efficiently supporting a cache memory hierarchy potentially using a zero size cache in a level of the hierarchy. In various embodiments, logic in a lower-level cache controller or elsewhere receives a miss request from an upper-level cache controller. When the requested data is non-cacheable, the logic sends a snoop request with an address of the memory access operation to the upper-level cache controller to determine whether the requested data is in the upper-level data cache. When the snoop response indicates a miss or the requested data is cacheable, the logic retrieves the requested data from memory. When the snoop response indicates a hit, the logic retrieves the requested data from the upper-level cache. The logic completes servicing the memory access operation while preventing cache storage of the received requested data in a cache at a same level of the cache memory hierarchy as the logic.