About two-thirds of Iowa Republicans in a new survey said they would vote for President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE if the 2020 election was held today, according to a new CNN/Des Moines Register/Mediacom poll.

The survey, which was released on Sunday night, found that 67 percent of the state's Republican respondents said they would vote for Trump if the election were held today. Nineteen percent said they would consider someone else, while 10 percent said they would definitely vote for someone else.

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But the poll also reveals that 63 percent of Republican respondents said the Republican Party of Iowa should welcome challengers to compete at the state's 2020 caucuses. Twenty-six percent said the Republican Party of Iowa should discourage potential candidates challenging Trump.

CNN notes that 72 percent of Republican respondents with college degrees say that the Iowa Republican Party should welcome challengers. In addition, it notes that the share of women surveyed who said they'd welcome challengers to the party caucuses, 66 percent, is higher than men, at 50 percent.

Trump's approval among the state's Republican voters appears strong in the new poll. Eighty-one percent of the voters said they approved of Trump's job performance in the White House, while just 14 percent disapproved.

The Iowa caucuses are expected to take place in February 2020.

The CNN/Des Moines Register/Mediacom poll was conducted between Dec. 10-13 among a population of 450 registered Republican voters. The margin of error is 4.6 percentage points.