diff --git a/src/undo.c b/src/undo.c
index 8145af0..732efab 100644
--- a/src/undo.c
+++ b/src/undo.c
@@ -775,7 +775,7 @@
  * When "reading" is FALSE use the first name where the directory exists.
  * Returns NULL when there is no place to write or no file to read.
  */
-    char_u *
+    static char_u *
 u_get_undo_file_name(char_u *buf_ffname, int reading)
 {
     char_u	*dirp;
@@ -3590,7 +3590,7 @@
  * For undotree(): Append the list of undo blocks at "first_uhp" to "list".
  * Recursive.
  */
-    void
+    static void
 u_eval_tree(u_header_T *first_uhp, list_T *list)
 {
     u_header_T  *uhp = first_uhp;