diff --git a/src/wp-includes/rest-api/class-wp-rest-server.php b/src/wp-includes/rest-api/class-wp-rest-server.php
index 9df4556ada..50e7bd9796 100644
--- a/src/wp-includes/rest-api/class-wp-rest-server.php
+++ b/src/wp-includes/rest-api/class-wp-rest-server.php
@@ -1273,10 +1273,23 @@ class WP_REST_Server {
 		);
 
 		$response = new WP_REST_Response( $available );
-		$response->add_link( 'help', 'https://developer.wordpress.org/rest-api/' );
-		$this->add_active_theme_link_to_index( $response );
-		$this->add_site_logo_to_index( $response );
-		$this->add_site_icon_to_index( $response );
+
+		$fields = isset( $request['_fields'] ) ? $request['_fields'] : '';
+		$fields = wp_parse_list( $fields );
+		if ( empty( $fields ) ) {
+			$fields[] = '_links';
+		}
+
+		if ( $request->has_param( '_embed' ) ) {
+			$fields[] = '_embedded';
+		}
+
+		if ( rest_is_field_included( '_links', $fields ) || rest_is_field_included( '_embedded', $fields ) ) {
+			$response->add_link( 'help', 'https://developer.wordpress.org/rest-api/' );
+			$this->add_active_theme_link_to_index( $response );
+			$this->add_site_logo_to_index( $response );
+			$this->add_site_icon_to_index( $response );
+		}
 
 		/**
 		 * Filters the REST API root index data.
diff --git a/tests/phpunit/tests/rest-api.php b/tests/phpunit/tests/rest-api.php
index 20b23fc0fb..4a575b8803 100644
--- a/tests/phpunit/tests/rest-api.php
+++ b/tests/phpunit/tests/rest-api.php
@@ -2512,10 +2512,10 @@ class Tests_REST_API extends WP_UnitTestCase {
 		$this->assertArrayHasKey( 'description', $preload_data['/']['body'] );
 		$this->assertArrayHasKey( 'routes', $preload_data['/']['body'] );
 
-		// Filtered request only has the desired fields + links
+		// Filtered request only has the desired fields.
 		$this->assertSame(
 			array_keys( $preload_data['/?_fields=description']['body'] ),
-			array( 'description', '_links' )
+			array( 'description' )
 		);
 	}
 
diff --git a/tests/phpunit/tests/rest-api/rest-server.php b/tests/phpunit/tests/rest-api/rest-server.php
index a642d37c56..6432026697 100644
--- a/tests/phpunit/tests/rest-api/rest-server.php
+++ b/tests/phpunit/tests/rest-api/rest-server.php
@@ -1119,6 +1119,59 @@ class Tests_REST_Server extends WP_Test_REST_TestCase {
 		$this->assertArrayHasKey( 'site_icon_url', $data );
 	}
 
+	/**
+	 * @ticket 57902
+	 *
+	 * @covers WP_REST_Server::get_index
+	 */
+	public function test_get_index_fields_name() {
+		$server = new WP_REST_Server();
+
+		$request = new WP_REST_Request( 'GET', '/' );
+		$request->set_param( '_fields', 'name' );
+		$index = $server->dispatch( $request );
+		$index = rest_filter_response_fields( $index, $server, $request );
+		$data  = $index->get_data();
+		$links = $index->get_links();
+
+		$this->assertArrayHasKey( 'name', $data );
+		$this->assertArrayNotHasKey( 'help', $links );
+	}
+
+	/**
+	 * @ticket 57902
+	 *
+	 * @covers WP_REST_Server::get_index
+	 *
+	 * @dataProvider data_get_index_should_return_help_and_not_name
+	 *
+	 * @param string $field The field to add to the request.
+	 */
+	public function test_get_index_should_return_help_and_not_name( $field ) {
+		$server = new WP_REST_Server();
+
+		$request = new WP_REST_Request( 'GET', '/' );
+		$request->set_param( '_fields', $field );
+		$index = $server->dispatch( $request );
+		$index = rest_filter_response_fields( $index, $server, $request );
+		$data  = $index->get_data();
+		$links = $index->get_links();
+
+		$this->assertArrayNotHasKey( 'name', $data );
+		$this->assertArrayHasKey( 'help', $links );
+	}
+
+	/**
+	 * Data provider.
+	 *
+	 * @throws Exception
+	 *
+	 * @return array
+	 */
+	public function data_get_index_should_return_help_and_not_name() {
+		return self::text_array_to_dataprovider( array( '_links', '_embedded' ) );
+	}
+
 	/**
 	 * @ticket 50152
 	 */