Index: link-template.php
===================================================================
--- link-template.php	(revision 14219)
+++ link-template.php	(working copy)
@@ -1022,12 +1022,13 @@
 	}
 
 	$adjacent = $previous ? 'previous' : 'next';
-	$op = $previous ? '<' : '>';
+	$op = $previous ? '<=' : '>='; // include current time
+	$ope = $previous ? '<' : '>'; // exclude current id
 	$order = $previous ? 'DESC' : 'ASC';
 
 	$join  = apply_filters( "get_{$adjacent}_post_join", $join, $in_same_cat, $excluded_categories );
-	$where = apply_filters( "get_{$adjacent}_post_where", $wpdb->prepare("WHERE p.post_date $op %s AND p.post_type = %s AND p.post_status = 'publish' $posts_in_ex_cats_sql", $current_post_date, $post->post_type), $in_same_cat, $excluded_categories );
-	$sort  = apply_filters( "get_{$adjacent}_post_sort", "ORDER BY p.post_date $order LIMIT 1" );
+	$where = apply_filters( "get_{$adjacent}_post_where", $wpdb->prepare("WHERE p.post_date $op %s AND p.ID $ope %s AND p.post_type = %s AND p.post_status = 'publish' $posts_in_ex_cats_sql", $current_post_date, $post->ID, $post->post_type), $in_same_cat, $excluded_categories );
+	$sort  = apply_filters( "get_{$adjacent}_post_sort", "ORDER BY p.post_date $order, p.ID $order LIMIT 1" );
 
 	$query = "SELECT p.* FROM $wpdb->posts AS p $join $where $sort";
 	$query_key = 'adjacent_post_' . md5($query);