diff --git a/src/wp-admin/css/edit.css b/src/wp-admin/css/edit.css
index 7fa904ae1a..76a2aade70 100644
--- a/src/wp-admin/css/edit.css
+++ b/src/wp-admin/css/edit.css
@@ -754,6 +754,15 @@ form#tags-filter {
 	padding-top: 8px;
 }
 
+.privacy-settings .update-nag,
+.site-health .update-nag {
+	display: block;
+}
+
+.privacy-settings .update-nag {
+	margin: 5px 15px 20px;
+}
+
 .privacy-settings-tabs-wrapper {
 	/* IE 11 */
 	display: -ms-inline-grid;
diff --git a/src/wp-admin/includes/ms.php b/src/wp-admin/includes/ms.php
index af5bd1abd4..6d83a8c20d 100644
--- a/src/wp-admin/includes/ms.php
+++ b/src/wp-admin/includes/ms.php
@@ -708,8 +708,15 @@ function site_admin_notice() {
 		return;
 	}
 
+	$inline = ' inline';
+	$screen = get_current_screen();
+
+	if ( $screen && in_array( $screen->id, array( 'site-health', 'options-privacy' ), true ) ) {
+		$inline = '';
+	}
+
 	if ( (int) get_site_option( 'wpmu_upgrade_site' ) !== $wp_db_version ) {
-		echo "<div class='update-nag notice notice-warning inline'>" . sprintf(
+		echo "<div class='update-nag notice notice-warning$inline'>" . sprintf(
 			/* translators: %s: URL to Upgrade Network screen. */
 			__( 'Thank you for Updating! Please visit the <a href="%s">Upgrade Network</a> page to update all your sites.' ),
 			esc_url( network_admin_url( 'upgrade.php' ) )
diff --git a/src/wp-admin/includes/update.php b/src/wp-admin/includes/update.php
index 8661af75b5..2281d03dfb 100644
--- a/src/wp-admin/includes/update.php
+++ b/src/wp-admin/includes/update.php
@@ -325,7 +325,14 @@ function update_nag() {
 		);
 	}
 
-	echo "<div class='update-nag notice notice-warning inline'>$msg</div>";
+	$inline = ' inline';
+	$screen = get_current_screen();
+
+	if ( $screen && in_array( $screen->id, array( 'site-health', 'options-privacy' ), true ) ) {
+		$inline = '';
+	}
+
+	echo "<div class='update-nag notice notice-warning$inline'>$msg</div>";
 }
 
 /**
@@ -857,7 +864,14 @@ function maintenance_nag() {
 		$msg = __( 'An automated WordPress update has failed to complete! Please notify the site administrator.' );
 	}
 
-	echo "<div class='update-nag notice notice-warning inline'>$msg</div>";
+	$inline = ' inline';
+	$screen = get_current_screen();
+
+	if ( $screen && in_array( $screen->id, array( 'site-health', 'options-privacy' ), true ) ) {
+		$inline = '';
+	}
+
+	echo "<div class='update-nag notice notice-warning$inline'>$msg</div>";
 }
 
 /**