我被LAYOFF，４月３０日最后一天工作日，５月３１日最后一张SEVERANCE PACKAGE里最后一张PAYCHECK，有可能找到同一所大学另外一份工作，开始日在六月以后，这是HR给我的信，说明HR不会去移民局通知我的 H１B结束，是吗？我的H１B一直到I９４到期才结束是吗?
If the new position is not available May 1st the severance benefits (pay and health coverage) will bridge whatever gap there is between your last day in the lab and being hired in your new position. You will continue on the university payroll and health benefits in a new department -- (central/downtown) Human Resource Administration -- while on severance status. Upon being hired by the new employee, the Human Resource Administration department will transfer you to your new department.