diff --git a/src/cairo-path-stroke-polygon.c b/src/cairo-path-stroke-polygon.c
index 2c8fe5e..56374fa 100644
--- a/src/cairo-path-stroke-polygon.c
+++ b/src/cairo-path-stroke-polygon.c
@@ -1324,11 +1324,6 @@ _cairo_path_fixed_stroke_to_polygon (const cairo_path_fixed_t	*path,
 				  tolerance, ctm);
 	if (unlikely (status))
 	    return status;
-
-	/* If the line width is so small that the pen is reduced to a
-	   single point, then we have nothing to do. */
-	if (stroker.pen.num_vertices <= 1)
-	    return CAIRO_STATUS_SUCCESS;
     }
 
     stroker.has_current_face = FALSE;