Login, Yes, you heard it right. I am not expert in this field, but when I was hired at a University five years ago, they said the H1 quota did not apply to higher education insititute. In my case, we had some professionals at the University, who deal with our immigration issues, such as filing H1B or green card, or renewing H1B. So, I neither had to hire any lawyer nor pay a dime from my pocket for the process. Most of the universities have these type of professionals because they need international scholars/ professional staffs. So, check with your HR or International Students Office to find out whether you need to hire external lawyer or not. Are you getting hired as professional staff or faculty member?