From the west, LA 24 begins at an interchange with LA 20 in Schriever, a small community located just south of Thibodaux. The interchange is located at a point where LA 20 changes its direction from east to north en route from Gibson to Thibodaux, simultaneously crossing over the BNSF/Union Pacific railroad line. LA 24 initially heads southeast from the base of the overpass as a standard divided four-lane highway. After a short distance, the travel lanes divide onto the one-way pair of West Main Street (eastbound) and West Park Avenue (westbound) to run on either side of Bayou Terrebonne.