As the spouse of an O-1 Visa holder, you would receive an O-3 status which allows you to stay in the U.S. for as long as the principal Visa holder remains in legal standing. However, O-1 spouses are not permitted to work in the United States. Taking up employment would be a violation of their Visa status, and may affect their legal position. An O-3 dependent may apply for a different immigration status that permits employment, if they qualify.