diff --git a/wp-admin/includes/class-wp-site-health.php b/wp-admin/includes/class-wp-site-health.php
index 47f645c351..f777514617 100644
--- a/wp-admin/includes/class-wp-site-health.php
+++ b/wp-admin/includes/class-wp-site-health.php
@@ -464,10 +464,14 @@ class WP_Site_Health {
 		// If this is a child theme, increase the allowed theme count by one, to account for the parent.
 		if ( $active_theme->parent() ) {
 			$allowed_theme_count++;
+
+			if ( $active_theme->get_template() === WP_DEFAULT_THEME ) {
+				$using_default_theme = true;
+			}
 		}
 
-		// If there's a default theme installed, we count that as allowed as well.
-		if ( $has_default_theme ) {
+		// If there's a default theme installed and not in use, we count that as allowed as well.
+		if ( $has_default_theme && ! $using_default_theme ) {
 			$allowed_theme_count++;
 		}
 
diff --git a/wp-includes/version.php b/wp-includes/version.php
index 92f9bd7145..cd5fb15587 100644
--- a/wp-includes/version.php
+++ b/wp-includes/version.php
@@ -13,7 +13,7 @@
  *
  * @global string $wp_version
  */
-$wp_version = '5.2-beta3-45259';
+$wp_version = '5.2-beta3-45260';
 
 /**
  * Holds the WordPress DB revision, increments when changes are made to the WordPress DB schema.