A new poll says most Democratic voters could be persuaded to vote for someone other than their top choice, a potentially worrying result for Hillary Clinton, who is the top choice of 55 percent of Democrats.

Sixty-two percent of the Democrats surveyed in a new Bloomberg Politics poll said that they could still be persuaded to vote for someone else, although 37 percent did say their mind is made up.

Of those supporting Clinton, 46 percent said they are set on their decision, while 54 percent said they could still be persuaded to vote another way.

One positive sign for Clinton, however, is that supporters of Sen. Bernie Sanders, I-Vt., are even less sure about their top choice. The poll said just 36 percent of Sanders' supporters are decided, and 64 percent could be persuaded to vote for someone else.

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