A device for operatively connecting an engine starter to an engine where the engine includes an engine crankshaft and the engine starter has a starter shaft with a length and a worm, or worm screw, of a worm drive spaced radially from the starter adapter shaft and within the length of the shaft is described herein. The device compromises a worm gear assembly as operatively attached to the starter adapter shaft. The a worm gear assembly includes a worm gear, or worm wheel, positioned to engage the worm and an overrunning clutch positioned radially between the worm gear and the starter adapter shaft and operatively engaging the starter adapter shaft.