The stator of a fluid cooled electric machine, such as a motor, a generator, or a motor/generator assembly, includes an annular stator core including inwardly projecting teeth and external grooves in an outer surface of the core that are radially aligned with the teeth. Electrically conductive windings are mounted on the inwardly projecting teeth, and a pipe assembly for coolant has a pipe formed into a serpentine shape. The pipe includes axially extending pipe portions received in the external stator core grooves, and end turns interconnecting adjacent pairs of the axially extending pipe portions. Heat conduction elements are secured to the end turns of the coolant pipe, and a housing surrounding the outer surface of the stator core retains the axially extending pipe portions within the external grooves.