diff --git a/planning/behavior_velocity_planner/src/scene_module/detection_area/scene.cpp b/planning/behavior_velocity_planner/src/scene_module/detection_area/scene.cpp
index c383418c8eac8..1ca450dfb1a08 100644
--- a/planning/behavior_velocity_planner/src/scene_module/detection_area/scene.cpp
+++ b/planning/behavior_velocity_planner/src/scene_module/detection_area/scene.cpp
@@ -357,8 +357,13 @@ bool DetectionAreaModule::isOverLine(
   const autoware_auto_planning_msgs::msg::PathWithLaneId & path,
   const geometry_msgs::msg::Pose & self_pose, const geometry_msgs::msg::Pose & line_pose) const
 {
-  return tier4_autoware_utils::calcSignedArcLength(
-           path.points, self_pose.position, line_pose.position) < 0;
+  const PointWithSearchRangeIndex src_point_with_search_range_index =
+    planning_utils::findFirstNearSearchRangeIndex(path.points, self_pose.position);
+  const PointWithSearchRangeIndex dst_point_with_search_range_index = {
+    line_pose.position, planning_utils::getPathIndexRangeIncludeLaneId(path, lane_id_)};
+
+  return planning_utils::calcSignedArcLengthWithSearchIndex(
+           path.points, src_point_with_search_range_index, dst_point_with_search_range_index) < 0;
 }
 
 bool DetectionAreaModule::hasEnoughBrakingDistance(