Methods and apparatus relating to techniques for provision of hierarchical Z-Culling (HiZ) optimization for texture-dependent discard operations are described. In an embodiment, a processor performs one or more operations (such as HiZ or Hierarchical Stencil test) on depth data of an image tile in response to a determination that texture space bounds of the image tile is fully opaque. The processor performs the one or more operations regardless of whether a discard operation is enabled. Other embodiments are also disclosed and claimed.