diff --git a/src/convert.c b/src/convert.c
index e6ca8fbb..b7f3d95c 100644
--- a/src/convert.c
+++ b/src/convert.c
@@ -303,7 +303,7 @@ convert_links (const char *file, struct urlpos *links)
         {
         case CO_CONVERT_TO_RELATIVE:
           /* Convert absolute URL to relative. */
-          {
+          if (link->local_name) {
             char *newname = construct_relative (file, link->local_name);
             char *quoted_newname = local_quote_string (newname,
                                                        link->link_css_p);