diff --git a/packages/dataviews/CHANGELOG.md b/packages/dataviews/CHANGELOG.md
index b1cb4504e72fa..cc6f4df9428b0 100644
--- a/packages/dataviews/CHANGELOG.md
+++ b/packages/dataviews/CHANGELOG.md
@@ -2,6 +2,8 @@
 
 ## Unreleased
 
+- The "move left/move right" controls in the table layout (popup displayed on cliking header) are always visible. ([#64646](https://github.com/WordPress/gutenberg/pull/64646)). Before this, its visibility depending on filters, enableSorting, and enableHiding.
+
 ## 4.1.0 (2024-08-07)
 
 ## Internal
diff --git a/packages/dataviews/src/dataviews-layouts/table/column-header-menu.tsx b/packages/dataviews/src/dataviews-layouts/table/column-header-menu.tsx
index ef1dc3e3ed2e0..b8fd0517e49d1 100644
--- a/packages/dataviews/src/dataviews-layouts/table/column-header-menu.tsx
+++ b/packages/dataviews/src/dataviews-layouts/table/column-header-menu.tsx
@@ -91,9 +91,7 @@ const _HeaderMenu = forwardRef( function HeaderMenu< Item >(
 		!! field.elements?.length &&
 		!! operators.length &&
 		! field.filterBy?.isPrimary;
-	if ( ! isSortable && ! isHidable && ! canAddFilter ) {
-		return field.label;
-	}
+
 	return (
 		<DropdownMenu
 			align="start"