J-1 Grace Period
J-1 nonimmigrants may remain the U.S. for 30 days following the expiration of Form DS-2019. Extremely importantly, you may not apply for a J-1 status related benefit during the 30 day grace period. During the 30 day grace period:
Unless you make a non-frivulous application to change status for a start date before the end of the 30 day grace period, you must depart the U.S. before the end of the grace period.