diff --git a/src/roadveh_cmd.cpp b/src/roadveh_cmd.cpp
index bed8f0a00e..dc37bdf92b 100644
--- a/src/roadveh_cmd.cpp
+++ b/src/roadveh_cmd.cpp
@@ -1663,7 +1663,13 @@ void OnNewDay_RoadVeh(Vehicle *v)
 		RoadStop* best = NULL;
 
 		if (rs != NULL) {
-			if (DistanceManhattan(v->tile, st->xy) < 16) {
+			/* We try to obtain a slot if:
+			 * 1) we're reasonably close to the primary road stop
+			 * or
+			 * 2) we're somewhere close to the station rectangle (to make sure we do assign
+			 *    slots even if the station and its road stops are incredibly spread out)
+			 */
+			if (DistanceManhattan(v->tile, rs->xy) < 16 || st->rect.PtInExtendedRect(TileX(v->tile), TileY(v->tile), 2)) {
 				uint dist, badness;
 				uint minbadness = UINT_MAX;
 
diff --git a/src/station.cpp b/src/station.cpp
index c9dc3a9f7f..985d39850c 100644
--- a/src/station.cpp
+++ b/src/station.cpp
@@ -202,9 +202,18 @@ void StationRect::MakeEmpty()
 	left = top = right = bottom = 0;
 }
 
-bool StationRect::PtInRectXY(int x, int y) const
+/**
+ * Determines whether a given point (x, y) is within a certain distance of
+ * the station rectangle.
+ * @note x and y are in Tile coordinates
+ * @param x X coordinate
+ * @param y Y coordinate
+ * @param distance The maxmium distance a point may have (L1 norm)
+ * @return true if the point is within distance tiles of the station rectangle
+ */
+bool StationRect::PtInExtendedRect(int x, int y, int distance) const
 {
-	return (left <= x && x <= right && top <= y && y <= bottom);
+	return (left - distance <= x && x <= right + distance && top - distance <= y && y <= bottom + distance);
 }
 
 bool StationRect::IsEmpty() const
@@ -221,7 +230,7 @@ bool StationRect::BeforeAddTile(TileIndex tile, StationRectMode mode)
 		left = right = x;
 		top = bottom = y;
 
-	} else if (!PtInRectXY(x, y)) {
+	} else if (!PtInExtendedRect(x, y)) {
 		/* current rect is not empty and new point is outside this rect */
 		/* make new spread-out rectangle */
 		Rect new_rect = {min(x, left), min(y, top), max(x, right), max(y, bottom)};
@@ -316,8 +325,8 @@ bool StationRect::AfterRemoveTile(Station *st, TileIndex tile)
 
 bool StationRect::AfterRemoveRect(Station *st, TileIndex tile, int w, int h)
 {
-	assert(PtInRectXY(TileX(tile), TileY(tile)));
-	assert(PtInRectXY(TileX(tile) + w - 1, TileY(tile) + h - 1));
+	assert(PtInExtendedRect(TileX(tile), TileY(tile)));
+	assert(PtInExtendedRect(TileX(tile) + w - 1, TileY(tile) + h - 1));
 
 	bool empty = AfterRemoveTile(st, tile);
 	if (w != 1 || h != 1) empty = empty || AfterRemoveTile(st, TILE_ADDXY(tile, w - 1, h - 1));
diff --git a/src/station.h b/src/station.h
index c278a8abe0..0f50bff754 100644
--- a/src/station.h
+++ b/src/station.h
@@ -84,7 +84,7 @@ struct StationRect : public Rect {
 
 	StationRect();
 	void MakeEmpty();
-	bool PtInRectXY(int x, int y) const;
+	bool PtInExtendedRect(int x, int y, int distance = 0) const;
 	bool IsEmpty() const;
 	bool BeforeAddTile(TileIndex tile, StationRectMode mode);
 	bool BeforeAddRect(TileIndex tile, int w, int h, StationRectMode mode);