An ally, Richard Porter, an RNC member from Illinois, met with her in Washington to make sure she wanted to run for another two-year term.
And the most ardent Trump critics among RNC members say McDaniel, Trump's pick for the post six years ago, is too close to him.
Bill Palatucci, an RNC member from New Jersey, said he opposes McDaniel's re-election for that reason.
For McDaniel to lose, an opponent would have to win the remaining undecided RNC members and swipe nearly two dozen avowed McDaniel backers.
Lori Klein Corbin, an RNC member from Arizona who hasn’t committed to any candidate, said McDaniel hasn’t asked for her vote yet.