In one embodiment, a cache memory includes entries each to store a ring level identifier, which may indicate a privilege level of information stored in the entry. This identifier may be used in performing read accesses to the cache memory. As an example, a logic coupled to the cache memory may filter an access to one or more ways of a selected set of the cache memory based at least in part on a current privilege level of a processor and the ring level identifier of the one or more ways. Other embodiments are described and claimed.