U.S.’ first openly gay governor will testify at his own divorce trial Tuesday, as he still hasn’t reached an agreement with his estranged wife, Dina Matos McGreevey, concerning alimony and child support payments, the division of financial assets and liabilities.

The former governor and his wife didn’t manage to negotiate a financial settlement when they met Monday, together with their lawyers.

The child custody matters were settled after negotiations that lasted three days. The former couple have a 6-year-old daughter, named Jacqueline.

McGreevey refused to give details about what had been established concerning the child’s custody, but said "she'll get a large amount of time to spend with her parents."

McGreevey, 50, resigned in 2004 during his first term in office following a nationally televised speech in which he admitted being “a gay American” and also that he had had an affair with a male staffer. However, the staffer has denied the affair and said he had only been sexually harassed by the former governor.

McGreevey and his wife had been married for four years. After his public statement, he moved at his boyfriend’s house and started studying for the Episcopal priesthood.

Matos McGreevey, 41, who accused her ex-husband of using her as a cover so that he could advance his political career, has recently appeared on cable television as a guest analyst. Both she and her ex-husband wrote books and promoted them on Oprah Winfrey’s show.