Republicans who abandon the party by refusing to back presidential nominee Donald Trump might face opposition if they try to run in the future, the Republican National Committee Chair Reince Priebus told CBS’ “Face the Nation" on Sunday.

"People who agreed to support the nominee, that took part in our process, they used tools from the RNC, they agreed to support the nominee," Priebus told host John Dickerson. "We are a private party, not a public entity. Those people need to get on board.

"And if they’re thinking they’re going to run again someday, I think we’re going to evaluate the process of the nomination process, and I don’t think it’s going to be that easy for them."

CBS’ Dickerson made the connection to someone like Ohio Gov. John Kasich, who ran against Trump in the Republican primary, and told NBC’s "Meet the Press" on Sunday chances are "miniscule" he will vote for Trump.

"These are things our party is going to look at in the process," Priebus told CBS.







"People who gave us their word, used information from the RNC, should be on board.

"People in our party are talking about what we are going to do about this. What the penalty for that? It’s not a threat.

"We have a process in place … an agreement with the participants in that process. And those participants don’t follow through with the promises they made in that process. What should a private party do about that if those same people come around in four to eight years?"