We applied and received H1B visas for an employee last year. He is planning to return to the University of Illinois as a post-doctoral fellow (would be employed full time by the university). We would also like to maintain his status with our company on a part time basis to help out with projects on an as-needed basis (0-20 hours per week). Can we do that?
While employment visas like the H1B are employer specific, an H1B holder may have concurrent H1B visas. This means that the USCIS can authorize a foreign national to work for one employer in H1B status for a certain number of hours per week and a different employer in H1B status for a different number of hours per week.