In this article, we describe how to write a cover letter for an unadvertised job and provide a template and an example for guidance. How to write a cover letter for an unadvertised job, plus sample application letters for jobs that aren't listed on an employer's website.This letter is especially helpful if you're applying to a traditionally unrelated industry from your previous job. It does the following:. Use these sample cover letters if: you're looking for work with a particular employer; there are no advertised vacancies at that employer. The typical advice for this type of cover letter is to aim your letter to address all of the qualities they ask for in the position posting. Here are eight steps to writing one that screams, "I'm a great hire! " Step 1: Write a fresh cover letter for each job (but yes, you can use a template). 3) Tell a compelling story (i.e. Not just reiterate your resume).