Donald Trump Pushes Forward in Iowa Despite Republican Party Concern

Despite comments, the party won't ban candidate from primary debate.

"We're going to run a fair, clean primary system, which includes a debate process that's up front and clear to people," Priebus said Friday regarding Trump. “Whichever candidates make that process cutoff, those people are going to be on the stage."

Trump said Mexican immigrants were bringing "drugs," "crime" and "rapists" to the U.S. when announcing his candidacy earlier this month.

"Not everything is going to be a hundred percent copacetic all the time," said Priebus, who commissioned a report after the 2012 election that determined the Republican party needed to improve its outreach to Hispanic voter. "But again, it's not my decision to decide who the nominee is and who we're going to support."

Many party members are concerned the business mogul, who has not been afraid to criticize fellow Republicans as a candidate, would serve as a distraction in the primary process.