I was in a similar position when I bought my home in 2008. As I recall, my length of employment there was the only thing that came up. I don't know how things are right now, but I really think it'll be the same situation – if you've got a solid work history, I bet you'll be fine.
Talk to human resources and see if they will  give you a month or few weeks of temporary housing so you will have the pay check in time to close . See whether they will pay for furniture storage fo r a month or  until you can receive your first check.One of my clients was able to arrange that to qualify.