We introduce and discuss a tracial notion of Z-absorption for simple, unital C*-algebras. It is analogous to other ”tracial” notions of regular properties (e.g. tracially AF algebras, etc.). This notion is well-behaved under crossed products satisfying a weak tracial version of the Rokhlin property, and C*-algebras satisfying this property have strict comparison. In the nuclear setting, methods of Matui and Sato can be used to show that this notion is in fact equivalent to Z-absorption. This is joint work with Ilan Hirshberg