diff --git a/src/wp-includes/rest-api/endpoints/class-wp-rest-comments-controller.php b/src/wp-includes/rest-api/endpoints/class-wp-rest-comments-controller.php
index f4f6bdd1f1a54..7c53efebf66a9 100644
--- a/src/wp-includes/rest-api/endpoints/class-wp-rest-comments-controller.php
+++ b/src/wp-includes/rest-api/endpoints/class-wp-rest-comments-controller.php
@@ -1254,6 +1254,8 @@ protected function prepare_links( $comment ) {
 			array(
 				'count'   => true,
 				'orderby' => 'none',
+				'type'    => $comment->comment_type,
+				'status'  => 'all',
 			)
 		);
 
diff --git a/tests/phpunit/tests/rest-api/rest-comments-controller.php b/tests/phpunit/tests/rest-api/rest-comments-controller.php
index e0868bbeca362..61fb2b3f2c0b9 100644
--- a/tests/phpunit/tests/rest-api/rest-comments-controller.php
+++ b/tests/phpunit/tests/rest-api/rest-comments-controller.php
@@ -4069,4 +4069,38 @@ public function data_note_status_provider() {
 			'reopen'   => array( 'reopen' ),
 		);
 	}
+
+	/**
+	 * Test children link for note comment type.
+	 *
+	 * @ticket 64145
+	 */
+	public function test_get_note_with_children_link() {
+		$comment_id_1 = self::factory()->comment->create(
+			array(
+				'comment_approved' => 0,
+				'comment_post_ID'  => self::$post_id,
+				'user_id'          => self::$subscriber_id,
+				'comment_type'     => 'note',
+			)
+		);
+
+		self::factory()->comment->create(
+			array(
+				'comment_approved' => 0,
+				'comment_parent'   => $comment_id_1,
+				'comment_post_ID'  => self::$post_id,
+				'user_id'          => self::$subscriber_id,
+				'comment_type'     => 'note',
+			)
+		);
+		wp_set_current_user( self::$admin_id );
+		$request = new WP_REST_Request( 'GET', sprintf( '/wp/v2/comments/%s', $comment_id_1 ) );
+		$request->set_param( 'type', 'note' );
+		$request->set_param( 'context', 'edit' );
+		$response = rest_get_server()->dispatch( $request );
+		$this->assertSame( 200, $response->get_status() );
+
+		$this->assertArrayHasKey( 'children', $response->get_links() );
+	}
 }