I'm on an H1-B at a university. I was slow about getting it renewed, and have temporarily fallen out of status. The renewal application should be processed by Jul 18. I also got married recently. We already have the DS-160, and the I-485 is pretty much ready to go. The only question is, would I jeopardize the I-485 application while I am out of status? The grace period on my I-94 ends Jul 10, but the International Scholars Office at my university says it's OK for me to stay in the country while my H1-B renewal application is being processed.