diff --git a/features/site-empty.feature b/features/site-empty.feature
index 4a69027e3..2f0b7adcc 100644
--- a/features/site-empty.feature
+++ b/features/site-empty.feature
@@ -128,3 +128,14 @@ Feature: Empty a WordPress site of its data
 
     When I run `wp --url=example.com/foo post list --format=ids`
     Then STDOUT should be empty
+
+  @require-wp-6.1
+  Scenario: Empty a multisite site without deprecation notices
+    Given a WP multisite installation
+    And I run `wp config set WP_DEBUG true --raw`
+
+    When I run `wp site empty --yes`
+    Then STDERR should not contain:
+      """
+      global_terms_enabled
+      """
diff --git a/src/Site_Command.php b/src/Site_Command.php
index 7c69b4646..e6d56f19c 100644
--- a/src/Site_Command.php
+++ b/src/Site_Command.php
@@ -118,8 +118,9 @@ private function insert_default_terms() {
 		/* translators: Default category slug */
 		$cat_slug = sanitize_title( _x( 'Uncategorized', 'Default category slug' ) );
 
+		// global_terms_enabled() is deprecated since WP 6.1, where global terms are always off.
 		// @phpstan-ignore function.deprecated
-		if ( global_terms_enabled() ) { // phpcs:ignore WordPress.WP.DeprecatedFunctions.global_terms_enabledFound -- Required for backwards compatibility.
+		if ( Utils\wp_version_compare( '6.1', '<' ) && global_terms_enabled() ) { // phpcs:ignore WordPress.WP.DeprecatedFunctions.global_terms_enabledFound -- Required for backwards compatibility.
 			$cat_id = $wpdb->get_var( $wpdb->prepare( "SELECT cat_ID FROM {$wpdb->sitecategories} WHERE category_nicename = %s", $cat_slug ) );
 			if ( null === $cat_id ) {
 				$wpdb->insert(