A new poll shows good news for Obama.

(CNN)— One day after a Gallup poll suggested a third of Hillary Clinton’s supporters would back John McCain this fall if she does not capture the Democratic nomination, a new survey indicates roughly as many Barack Obama voters would do the same if he is not the party’s nominee.

Thirty-two percent of Clinton’s supporters claim they will vote for McCain if she is not at the top of the ticket in a Pew Research Center poll released Thursday; 28 percent of Obama’s supporters say they will back the Republican nominee if the New York senator is the Democrats’ general election candidate.

The poll also finds controversy surrounding Barack Obama’s former pastor Rev. Jeremiah Wright appears not to have done permanent damage. Despite unprecedented public attention – coverage of Wright’s sermons “attracted more public attention than any events thus far in the 2008 presidential campaign,” according to Pew — the Illinois senator still maintained a 49 percent to 39 percent advantage over Clinton in the survey.

Overall, the survey found voters’ opinions of the presumptive Republican nominee, John McCain, were virtually unchanged from results in a February Pew poll. But 64 percent of voters now believe Republicans will unite behind the Arizona senator, up from 58 percent in February.

The survey of 1,503 adults was conducted March 19-22 and has a margin of error of 3 percentage points.

–CNN’s Emily Sherman