diff --git a/src/wp-admin/includes/class-wp-site-health.php b/src/wp-admin/includes/class-wp-site-health.php
index 1fc0cea878..9e6815f180 100644
--- a/src/wp-admin/includes/class-wp-site-health.php
+++ b/src/wp-admin/includes/class-wp-site-health.php
@@ -3290,10 +3290,6 @@ class WP_Site_Health {
 	public function should_suggest_persistent_object_cache() {
 		global $wpdb;
 
-		if ( is_multisite() ) {
-			return true;
-		}
-
 		/**
 		 * Filters whether to suggest use of a persistent object cache and bypass default threshold checks.
 		 *
@@ -3309,6 +3305,10 @@ class WP_Site_Health {
 			return $short_circuit;
 		}
 
+		if ( is_multisite() ) {
+			return true;
+		}
+
 		/**
 		 * Filters the thresholds used to determine whether to suggest the use of a persistent object cache.
 		 *