Yep, as long as it states start date and salary you're good. I'm a leasing agent and do this all the time.The last two pay stubs, or an offer letter for a new job are perfect. You can also supply a bank account statement to show proof of funds. Mention your name, the type of job you do, and why you're interested in the apartment. This edition of Ask an Apartment Expert covers the steps of applying for a downtown Chicago apartment and the materials needed to qualify. Generally a job offer letter will show your new salary and that will help that you will be financially able to pay rent. As the first step of securing rental housing, you should be prepared to fill out a rental application when you find an apartment you are interested in. Find an apartment: Tour available units, compare options, and choose the right apartment for your needs. Each time I've moved it's been for a new job.