A job offer letter isn't a contract. It doesn't require a signature and, as you've experienced, a signature doesn't guarantee a job.Unless you have a secure method of electronically signing a document, no. Customer: Who should sign an offer letter first? The employer or employee? This adobe sign tutorial will show how to give an employment offer electronically find in just five easy steps. The e-signature section in the accepted offer letter can show content appropriate to the situation. Need help drafting a job offer letter?