A multi-core processor includes a plurality of processors and a shared cache. Cache control logic implements an inclusive cache scheme among the shared cache and the local caches for the processors. Counters are maintained to track instances, per set, when a processor chooses to delay eviction from the local cache. While the counter indicates that one or more delayed evictions are pending for a set, the cache control logic treats the set as non-inclusive, broadcasting foreign snoops to all of the local caches, regardless of whether the snoop hits in the shared cache. Other embodiments are also described and claimed.