diff --git a/src/wp-admin/admin-header.php b/src/wp-admin/admin-header.php
index 3306c9125b..61a2df1734 100644
--- a/src/wp-admin/admin-header.php
+++ b/src/wp-admin/admin-header.php
@@ -294,7 +294,7 @@ if ( is_network_admin() ) {
 	 * @since 3.1.0
 	 */
 	do_action( 'user_admin_notices' );
-} else {
+} elseif ( 'site-health' !== $current_screen->id && 'options-privacy' !== $current_screen->id ) {
 	/**
 	 * Prints admin screen notices.
 	 *
diff --git a/src/wp-admin/css/edit.css b/src/wp-admin/css/edit.css
index 7fa904ae1a..44dc3c0c11 100644
--- a/src/wp-admin/css/edit.css
+++ b/src/wp-admin/css/edit.css
@@ -736,6 +736,18 @@ form#tags-filter {
 	line-height: 1.3;
 }
 
+/* Privacy Settings/Health Check admin notices */
+.privacy-settings-admin-notices,
+.health-check-admin-notices {
+	background: #fff;
+}
+
+.privacy-settings-admin-notices .notice,
+.health-check-admin-notices .notice {
+	margin-top: 25px;
+	margin-left: 22px;
+}
+
 /* Header */
 .privacy-settings-header,
 .health-check-header {
diff --git a/src/wp-admin/options-privacy.php b/src/wp-admin/options-privacy.php
index 008ea30fcf..6fd8492c97 100644
--- a/src/wp-admin/options-privacy.php
+++ b/src/wp-admin/options-privacy.php
@@ -148,6 +148,9 @@ wp_enqueue_script( 'privacy-tools' );
 require_once ABSPATH . 'wp-admin/admin-header.php';
 
 ?>
+<div class="privacy-settings-admin-notices">
+	<?php do_action( 'admin_notices' ); ?>
+</div>
 <div class="privacy-settings-header">
 	<div class="privacy-settings-title-section">
 		<h1>
diff --git a/src/wp-admin/site-health.php b/src/wp-admin/site-health.php
index dfdf2b27c9..ec194c58af 100644
--- a/src/wp-admin/site-health.php
+++ b/src/wp-admin/site-health.php
@@ -95,6 +95,9 @@ $health_check_site_status->check_wp_version_check_exists();
 
 require_once ABSPATH . 'wp-admin/admin-header.php';
 ?>
+<div class="health-check-admin-notices">
+	<?php do_action( 'admin_notices' ); ?>
+</div>
 <div class="health-check-header">
 	<div class="health-check-title-section">
 		<h1>