Travel on OPT after H1B approval

[smithasera]

I am required to travel to India for about a month for business through my company before June. I am currently on OPT STEM ext which expires on July 24th 2013. I will be applying for H1-B through my company's sponsorship this April.However, since there is a need to travel, I am wondering if I can apply for a faster(premium H1-B)application, and then once I get approval, travel to India on OPT visa and return back before July on OPT before it expires,Will this cause any issues at immigration check when I return since I would only have a month for my OPT to expire?

Also, I would need cap gap extension after my OPT expires until Oct 1st, so would Immigration ask for cap gap proof along with H1-B proof?Are there any risks with this kind of travel scenario?

[wiweq]

If you visit India after H1b approval with COS and come back to USA with unexpired F1, you don't have any problem.