Yes, but this may not be sufficient. Notice must be provided to all qualified beneficiaries. For example, if the employee is married, the spouse is entitled to a separate notice. Often, employers use certified mail, or otherwise obtain a receipt, to provide a record that the required notice was provided. If notice is not provided to all qualified beneficiaries, the employer could be held responsible for medical expenses that would otherwise be covered for those beneficiaries, even if the former employee does not elect COBRA coverage.