Index: wp-admin/edit-form-advanced.php
===================================================================
--- wp-admin/edit-form-advanced.php	(revision 25014)
+++ wp-admin/edit-form-advanced.php	(revision )
@@ -368,7 +368,7 @@
 <?php
 $sample_permalink_html = $post_type_object->public ? get_sample_permalink_html($post->ID) : '';
 $shortlink = wp_get_shortlink($post->ID, 'post');
-if ( !empty($shortlink) )
+if ( !empty( $shortlink ) && $shortlink !== get_permalink( $post->ID ) )
     $sample_permalink_html .= '<input id="shortlink" type="hidden" value="' . esc_attr($shortlink) . '" /><a href="#" class="button button-small" onclick="prompt(&#39;URL:&#39;, jQuery(\'#shortlink\').val()); return false;">' . __('Get Shortlink') . '</a>';
 
 if ( $post_type_object->public && ! ( 'pending' == get_post_status( $post ) && !current_user_can( $post_type_object->cap->publish_posts ) ) ) {