Robert F. Kennedy Jr. has the backing of 10% of swing-state voters in his independent presidential bid that is draining support from both Republican and Democratic rivals ahead of next year's election, a Bloomberg News/Morning Consult poll found.

A vaccine skeptic and proponent of widely debunked conspiracy theories, Kennedy has parlayed his family's name recognition into an outsider bid that the poll shows has found appeal with independents, women and those who voted for third-party candidates in previous elections.