I am currently on H1B for a University (cap exempt). I found a new job in April for a company and my new employer filed the H1B 10 days ago (I have the receipt and made it through the cap). I am still working for the university until October and my visa is still valid. The attorney said that I should not travel internationally while my case is pending. Why is that? My H1B with the university is still valid and I am still working there, what could be the problem?