diff --git a/docs/shell-integration.rst b/docs/shell-integration.rst
index 3ea921cfb..c540b2286 100644
--- a/docs/shell-integration.rst
+++ b/docs/shell-integration.rst
@@ -213,7 +213,7 @@ Then in your shell's rc file, add the lines:
         if test -n "$KITTY_INSTALLATION_DIR"; then
             export KITTY_SHELL_INTEGRATION="enabled"
             autoload -Uz -- "$KITTY_INSTALLATION_DIR"/shell-integration/zsh/kitty-integration
-            kitty-integration
+            unfunction kitty-integration
         fi
 
 .. tab:: fish
diff --git a/shell-integration/zsh/kitty-integration b/shell-integration/zsh/kitty-integration
index 4ad33d4b2..caf04de54 100644
--- a/shell-integration/zsh/kitty-integration
+++ b/shell-integration/zsh/kitty-integration
@@ -10,6 +10,7 @@
 # Kitty in all shells should add the following lines to their .zshrc:
 #
 #   if [[ -n $KITTY_INSTALLATION_DIR ]]; then
+#     export KITTY_SHELL_INTEGRATION="enabled"
 #     autoload -Uz -- "$KITTY_INSTALLATION_DIR"/shell-integration/zsh/kitty-integration
 #     kitty-integration
 #     unfunction kitty-integration