diff --git a/CHANGELOG.md b/CHANGELOG.md
index ec1df37fbc..115ab1d36e 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -12,6 +12,7 @@ and this project adheres to [Semantic Versioning](http://semver.org/).
 
 - Fixed `Pilot.click` not working with `times` parameter https://github.com/Textualize/textual/pull/5398
 - Fixed select refocusing itself too late https://github.com/Textualize/textual/pull/5420
+- Fixed `Header` icon showing command palette tooltip when disabled https://github.com/Textualize/textual/pull/5427
 
 ### Added
 
diff --git a/src/textual/widgets/_header.py b/src/textual/widgets/_header.py
index 2482a578e4..a760aa81d1 100644
--- a/src/textual/widgets/_header.py
+++ b/src/textual/widgets/_header.py
@@ -33,7 +33,10 @@ class HeaderIcon(Widget):
     """The character to use as the icon within the header."""
 
     def on_mount(self) -> None:
-        self.tooltip = "Open the command palette"
+        if self.app.ENABLE_COMMAND_PALETTE:
+            self.tooltip = "Open the command palette"
+        else:
+            self.disabled = True
 
     async def on_click(self, event: Click) -> None:
         """Launch the command palette when icon is clicked."""