It curves to the northeast, to an interchange with Interstate 16 (I-16; Jim Gillis Historic Savannah Parkway) in the southwestern part of the town. In the northeastern part of town, SR 338 intersects US 80/SR 19/SR 26. The route continues traveling to the northeast until it meets its northern terminus, an intersection with US 441/SR 29 northwest of Dublin.
The route curves northeast, to an interchange with Interstate 16 (I-16; Jim Gillis Historic Savannah Parkway) in the southwestern part of the town. In the northeastern part of town, SR 338 intersects US 80/SR 19/SR 26. The route continues traveling northeast until it meets its northern terminus, an intersection with US 441/SR 29 northwest of Dublin.