Yes, your part-time employer needs to sponsor another part-time H1B for you. You will be working with to concurrent H1Bs. You should inform your ft employer just in case there's conflict of mutual interest.
【在 k**********c 的大作中提到】 : Yes, your part-time employer needs to sponsor another part-time H1B for you. : You will be working with to concurrent H1Bs. : You should inform your ft employer just in case there's conflict of mutual : interest.