A wheat variety designated XW02M, the plants and seeds of wheat variety XW02M, methods for producing a wheat plant produced by crossing the variety XW02M with another wheat plant, and hybrid wheat seeds and plants produced by crossing the variety XW02M with another wheat line or plant, and the creation of variants by mutagenesis or transformation of variety XW02M. This invention also relates to methods for producing other wheat varieties or breeding lines derived from wheat variety XW02M and to wheat varieties or breeding lines produced by those methods.