The offer is conditional in a way that's out of your control. In this article, we will guide you through the process of writing an effective acceptance letter for a job offer.Explain that you accepted a job offer, that the acceptance was in writing, and say who sent you the offer. A sample letter offering a job contingent upon the results of a background check or other criteria. This is an 1 offer letter for a non-executive hourly or salaried employee that describes the basic terms of the position offered.