(CNN) - The battle over gay marriage moves to New Jersey Monday.

A bill that would legalize same-sex marriages comes up for debate in the state's Senate Judiciary Committee. If the legislation passes through the panel, it could be voted on by the full state Senate by the end of the week. The state Assembly hasn't considered the bill yet.

The timing is important since Republican Gov.-elect Chris Christie, who takes office next month, says he would veto the bill. The man Christie beat in last month's election, out-going Democratic Gov. Jon Corzine, says he would sign the bill if it reaches his desk before he leaves office.

Last week, New York's state Senate defeated a bill that would legalize same-sex marriages. The legislation had already passed the state Assembly. New York Gov. David Paterson said he would have immediately signed the bill if it had made it to his office.

Massachusetts, Connecticut, New Hampshire, Vermont and Iowa are currently the only states that legally allow same-sex marriages. Earlier this year, lawmakers in Maine approved legalized gay marriages. But voters in Maine last month passed a referendum to overturn the new law. A vote last week by the District of Columbia's city council moved Washington, D.C. one step closer to legalizing same sex marriages.