diff --git a/src/cairo-spans-compositor.c b/src/cairo-spans-compositor.c
index 8cc47c285..3b5604e6a 100644
--- a/src/cairo-spans-compositor.c
+++ b/src/cairo-spans-compositor.c
@@ -717,6 +717,9 @@ clip_and_composite_boxes (const cairo_spans_compositor_t	*compositor,
 
 	clip = _cairo_clip_copy (extents->clip);
 	clip = _cairo_clip_intersect_boxes (clip, boxes);
+	if (_cairo_clip_is_all_clipped (clip))
+	    return CAIRO_INT_STATUS_NOTHING_TO_DO;
+
 	status = _cairo_clip_get_polygon (clip, &polygon,
 					  &fill_rule, &antialias);
 	_cairo_clip_path_destroy (clip->path);
diff --git a/src/cairo-traps-compositor.c b/src/cairo-traps-compositor.c
index a822f8e05..d93b0576f 100644
--- a/src/cairo-traps-compositor.c
+++ b/src/cairo-traps-compositor.c
@@ -1635,6 +1635,9 @@ clip_and_composite_boxes (const cairo_traps_compositor_t *compositor,
 
 	clip = _cairo_clip_copy (extents->clip);
 	clip = _cairo_clip_intersect_boxes (clip, boxes);
+	if (_cairo_clip_is_all_clipped (clip))
+	    return CAIRO_INT_STATUS_NOTHING_TO_DO;
+
 	status = _cairo_clip_get_polygon (clip, &polygon,
 					  &fill_rule, &antialias);
 	_cairo_clip_path_destroy (clip->path);