Most recently, the eastern terminus of LA 24 was slightly truncated in 2015 when the final of the route were transferred to Lafourche Parish. The designation formerly extended past LA 3235 and looped under the West Larose Lift Bridge on LA 1 to intersect that highway at the bridge's eastern approach. This route forced trucks to navigate a tight right-angle turn immediately after a low clearance crossing under the lift bridge. The extension of LA 3235 from Galliano to Larose in the early 2000s eliminated this hazard, and signs now direct all through traffic to turn onto LA 3235 to reach LA 1, although the connection to northbound LA 1 is less direct.