The route travels to the north-northwest, to the town of Dexter, where it has a concurrency with SR 257 (North Main Street).
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.
The route continues traveling to the northeast until it meets its northern terminus, an intersection with US 441/SR 29 northwest of Dublin.
Here, the roadway continues northeast as Holly Ridge Road.
[4] The highway that would eventually become SR 338 was built by the end of 1953 as an unnumbered road from Caldwell to Dudley.