A cache write back operation, write back modified data to memory from cache data array to fix inconsistency between them can be cancelled by the results of a comparison of the progress between a write back and snoop push or snoop kill operation. Write back is intended to make an empty slot to accommodate a reload data due to a cache miss and since a snoop push or snoop kill operation creates an invalid entry in the cache, write back is not needed. If simultaneous push or kill with write back operation exist, then write back machine is late cancelled. System performance improves due to preserving more cache lines in cache data array for possible future reuse.