(CNN) - The West Virginia exit polls have some sobering news for the Democratic Party.
As has been the case in previous states, a significant amount of both candidates' supporters said they aren't willing to vote for the other candidate in November.
Among Obama supporters, just 51 percent of West Virginia Democrats say they will vote for Clinton if she is the nominee. John McCain would get close to a third of Obama's supporters, and 14 percent said they wouldn't vote at all.
But an even smaller number of Clinton's supporters would back Obama: just 36 percent say that they would vote for the Illinois senator. About the same amount, 35 percent, say they would support McCain and 29 percent say they wouldn't vote or would vote for someone else.
It looks like if Obama becomes the nominee, he's going to have quite a struggle with John McCain to carry West Virginia for the Democrats.