diff --git a/test/lisp/calendar/parse-time-tests.el b/test/lisp/calendar/parse-time-tests.el
index 9bcf2b4a53c7..6b2b7af0694b 100644
--- a/test/lisp/calendar/parse-time-tests.el
+++ b/test/lisp/calendar/parse-time-tests.el
@@ -42,7 +42,15 @@
   (should (equal (parse-time-string "Monday, 22 february 2016 19:35:42 +0100")
                  '(42 35 19 22 2 2016 1 nil 3600)))
   (should (equal (parse-time-string "Monday, 22 february 2016 19:35:42 PDT")
-                 '(42 35 19 22 2 2016 1 t -25200))))
+                 '(42 35 19 22 2 2016 1 t -25200)))
+  (should (equal (parse-iso8601-time-string "1998-09-12T12:21:54-0200")
+                 '(13818 33666)))
+  (should (equal (parse-iso8601-time-string "1998-09-12T12:21:54-02:00")
+                 '(13818 33666)))
+  (should (equal (parse-iso8601-time-string "1998-09-12T12:21:54-02")
+                 '(13818 33666)))
+  (should (equal (parse-iso8601-time-string "1998-09-12T12:21:54+02")
+                 '(13818 19266))))
 
 (provide 'parse-time-tests)