diff --git a/lisp/ChangeLog b/lisp/ChangeLog
index dc95d6b02c3..dae61985be1 100644
--- a/lisp/ChangeLog
+++ b/lisp/ChangeLog
@@ -1,6 +1,7 @@
 2014-02-09  Lars Ingebrigtsen  <larsi@gnus.org>
 
 	* icomplete.el (icomplete-with-completion-tables): Doc fix (bug#11654).
+	(icomplete-simple-completing-p): Mention the previous variable.
 
 	* font-lock.el (font-lock-value-in-major-mode): Clarify the
 	meaning of the parameter (bug#12282).
diff --git a/lisp/icomplete.el b/lisp/icomplete.el
index c3e9c678676..a02a156009c 100644
--- a/lisp/icomplete.el
+++ b/lisp/icomplete.el
@@ -237,7 +237,8 @@ Conditions are:
    and not in the middle of macro execution,
    and the completion table is not a function (which would
        indicate some non-standard, non-simple completion mechanism,
-       like file-name and other custom-func completions)."
+       like file-name and other custom-func completions),
+   and `icomplete-with-completion-tables' doesn't restrict completion."
 
   (unless executing-kbd-macro
     (let ((table (icomplete--completion-table)))