problem with hidden copy in phpmailer

I'm trying to send multiple emails with phpmailer, my recipients are receiving them, but to prevent them from seeing who else I've sent the emails to, I've used the following function:

$email->AddBCC($resultado_nome->email, $resultado_nome->nome);

The problem is that they receive the email with the following:

undisclosed-recipients:;

Well, I currently do this as follows:

// Define os destinatário(s)
$consulta_nome = $mysqli->query("select * from cadastro");
while ($resultado_nome = mysqli_fetch_object($consulta_nome)) {


   // Destinatório e cópia oculta
   $email->AddBCC($resultado_nome->email, $resultado_nome->nome);

   // Iremos enviar o email no formato HTML
   $email->IsHTML(true);

   // Define a mensagem (Texto e Assunto)
   $email->Subject = "Nova email";
   $email->Body = "emai";

   // Envia o e-mail
   $email->Send();
}

Is it wrong? That way I'll send an email to everyone on my mailing list.

Does anyone know how to solve this?