I'm graduating on Aug 2013, and I knew I'm not allowed to work on my H1B before Oct, 2013. Can I travel while I'm applying for H1B and GreenCard ? if Yes, then what is your advice. Goal: Start the process early to save time and efforts. Major: PhD, Computer Engineering. (Expected Aug, 2013). Extra: I'm on F-1 Visa (Expired 2009), I had a Master degree from US also.