His press secretary wouldn't rule the possibility out, when asked by the gay press:

White House Press Secretary Jay Carney said on Friday he wouldn’t rule “in or out” the possibility of President Obama endorsing same-sex marriage in the upcoming State of the Union address.

Carney made the remarks on whether Obama would announce support for marriage equality during the State of the Union address, which is set to take place Tuesday before a joint session of Congress, in response to a question from the Washington Blade.

“I will not rule anything in or out,” Carney said. “I’m just not going to talk about — beyond pointing at his words — his personal views on this. I think his administration’s policies on related issues are there for people to judge.”

Obama doesn’t support same-sex marriage, but since October 2010 he’s suggested his views could “evolve” in favor of same-sex marriage, However, he hasn’t yet made an endorsement in support of marriage rights for gay couples.