The White House is keeping mum on whether the Supreme Court should take a gay marriage case.

White House press secretary Jay Carney was asked at a press conference on Tuesday whether the high court could review a lower court's ruling declaring unconstitutional Proposition 8, California's gay marriage ban.

“I will ask you to direct it to the Justice Department,” Carney said. “I'm not going to make policy toward Supreme Court cases from here.”

The Justice Department is in favor of the court looking at cases that involve the Defense of Marriage Act (DOMA), the 1996 law which prevents federal agencies from recognizing the legal marriages of gay and lesbian couples. President Barack Obama in May endorsed gay nuptials and has previously said he's opposed to DOMA and amendments such as Proposition 8.

Striking down DOMA would only affect states where such unions are already legal.

A review of a state constitutional ban such as Proposition 8 could have far wider legal implications.

(Related: Gay marriage in California as early as next month?)