diff --git a/includes/Core/Admin/Screen.php b/includes/Core/Admin/Screen.php
index 5d68c1dc677..7a2c010180d 100644
--- a/includes/Core/Admin/Screen.php
+++ b/includes/Core/Admin/Screen.php
@@ -129,8 +129,7 @@ public function add( Context $context ) {
 						function() use ( $context ) {
 							$this->render( $context );
 						},
-						$context->url( 'dist/assets/images/logo-g_white_small.png' ),
-						3
+						$context->url( 'dist/assets/images/logo-g_white_small.png' )
 					);
 					$menu_slug = $this->slug;
 				}
diff --git a/includes/Core/Admin/Screens.php b/includes/Core/Admin/Screens.php
index c25057d1168..a1c7391a574 100644
--- a/includes/Core/Admin/Screens.php
+++ b/includes/Core/Admin/Screens.php
@@ -127,6 +127,21 @@ function() {
 		add_action( 'admin_notices', $remove_notices_callback, -9999 );
 		add_action( 'network_admin_notices', $remove_notices_callback, -9999 );
 		add_action( 'all_admin_notices', $remove_notices_callback, -9999 );
+
+		add_filter( 'custom_menu_order', '__return_true' );
+		add_filter(
+			'menu_order',
+			function( array $menu_order ) {
+				$new_order = array();
+				foreach ( $menu_order as $index => $item ) {
+					if ( 'index.php' === $item || 0 === strpos( $item, self::PREFIX ) ) {
+						$new_order[] = $item;
+						unset( $menu_order[ $index ] );
+					}
+				}
+				return array_values( array_merge( $new_order, $menu_order ) );
+			}
+		);
 	}
 
 	/**
diff --git a/tests/phpunit/integration/Core/Admin/ScreensTest.php b/tests/phpunit/integration/Core/Admin/ScreensTest.php
index f0101ef0fe3..eb15eab8de2 100644
--- a/tests/phpunit/integration/Core/Admin/ScreensTest.php
+++ b/tests/phpunit/integration/Core/Admin/ScreensTest.php
@@ -95,4 +95,31 @@ public function test_removal_of_admin_notices_outside_sitekit( $hookname ) {
 		do_action( $hookname );
 		$this->assertNotEmpty( ob_get_clean() );
 	}
+
+	public function test_menu_order() {
+		$menu_order = array(
+			'index.php',
+			'third-party-plugin',
+			'edit.php',
+			'options-general.php',
+			'googlesitekit-dashboard',
+		);
+
+		$this->screens->register();
+
+		// Imitate WordPress core running these filters.
+		if ( apply_filters( 'custom_menu_order', false ) ) {
+			$menu_order = apply_filters( 'menu_order', $menu_order );
+		}
+
+		$expected_order = array(
+			'index.php',
+			'googlesitekit-dashboard',
+			'third-party-plugin',
+			'edit.php',
+			'options-general.php',
+		);
+
+		$this->assertEquals( $expected_order, $menu_order );
+	}
 }