Automatic Transmission Oil Cooler Hose Assembly (624-058) by Dorman®. Location: Auxiliary Cooler to Transmission at Rear Fitting. Inlet Passenger Side. Finish: Natural. Replacing a damaged cooler line with Dorman’s Auto Trans Oil Cooler Hose Assembly takes you a long way in protecting your transmission. Dorman’s line’s leak-resistant design prevents the common, high-stakes problem of transmission fluid loss. Plus, its robust construction readily defends against possible damage from road debris and corrosion.