A new “held” (“H”) cache-coherency state is introduced for directory-based multiprocessor systems. Using the held state enables embodiments of the present invention to track sharers that have a shared copy of a cache line after a directory runs out of space for holding information that identifies processors that have received shared copies of the cache line (e.g., pointers to sharers of the cache line). In these embodiments, when a directory entry is full, the system provides subsequent shared copies of the cache line to sharers in the held state and tracks the identity of the held-copy owners in a data field in the entry for the cache line in a home node.