diff --git a/wp-admin/includes/class-wp-site-health-auto-updates.php b/wp-admin/includes/class-wp-site-health-auto-updates.php
index d06ae33cb2..b202235f12 100644
--- a/wp-admin/includes/class-wp-site-health-auto-updates.php
+++ b/wp-admin/includes/class-wp-site-health-auto-updates.php
@@ -86,6 +86,10 @@ class WP_Site_Health_Auto_Updates {
 	 * @return array The test results.
 	 */
 	public function test_wp_version_check_attached() {
+		if ( ! is_main_site() ) {
+			return;
+		}
+
 		$cookies = wp_unslash( $_COOKIE );
 		$timeout = 10;
 		$headers = array(
diff --git a/wp-admin/includes/class-wp-site-health.php b/wp-admin/includes/class-wp-site-health.php
index f777514617..d7a6786a8d 100644
--- a/wp-admin/includes/class-wp-site-health.php
+++ b/wp-admin/includes/class-wp-site-health.php
@@ -366,7 +366,7 @@ class WP_Site_Health {
 		}
 
 		// Check if there are inactive plugins.
-		if ( $plugins_total > $plugins_active ) {
+		if ( $plugins_total > $plugins_active && ! is_multisite() ) {
 			$unused_plugins = $plugins_total - $plugins_active;
 
 			$result['status'] = 'recommended';
@@ -521,7 +521,7 @@ class WP_Site_Health {
 			}
 		}
 
-		if ( $has_unused_themes && $show_unused_themes ) {
+		if ( $has_unused_themes && $show_unused_themes && ! is_multisite() ) {
 
 			// This is a child theme, so we want to be a bit more explicit in our messages.
 			if ( $active_theme->parent() ) {
diff --git a/wp-includes/version.php b/wp-includes/version.php
index 61471e3beb..4232cc72c4 100644
--- a/wp-includes/version.php
+++ b/wp-includes/version.php
@@ -13,7 +13,7 @@
  *
  * @global string $wp_version
  */
-$wp_version = '5.2-RC1-45274';
+$wp_version = '5.2-RC1-45275';
 
 /**
  * Holds the WordPress DB revision, increments when changes are made to the WordPress DB schema.