More than 6 in 10 Americans now favor allowing illegal immigrants to eventually become U.S. citizens, a major increase in support driven by a turnaround in Republicans' opinions after the 2012 elections.

The finding, in a new Associated Press-GfK poll, comes as the Republican Party seeks to increase its meager support among Latino voters, who turned out in large numbers to help-re-elect President Barack Obama in November.

Emboldened by the overwhelming Hispanic backing and by shifting attitudes on immigration, Obama has made overhauling laws about who can legally live in the U.S. a centerpiece of his second-term agenda. In the coming weeks, he's expected to aggressively push for ways to create an eventual pathway to citizenship for the estimated 11 million illegal immigrants already in this country.