Reince Priebus arrives for a day of meetings at the clubhouse of Trump National Golf Club November 19, 2016, in Bedminster, New Jersey. Priebus has been named White House chief of staff by US President-elect Donald Trump. / AFP / Don EMMERT (Photo credit should read DON EMMERT/AFP/Getty Images)

GOP chairman and incoming White House chief of staff Reince Priebus said he was “not going to rule out anything” when it came to banning Muslim immigration, but seemed to suggest that such a ban would not explicitly prohibit Muslims outright.

“I’m not gonna rule out anything,” Priebus said during an appearance on NBC’s “Meet the Press” Sunday, “but we’re not gonna have a registry based on a religion.”

“I think what we’re trying to do is say that there are some people, certainly not all people… there are some people that are radicalized. And there are some people that have to be prevented from coming into this country,” Priebus continued. “[President-elect Trump’s] position is consistent with bills in the House and the Senate that say the following: If you want to come from a place or an area around the world that harbors and trains terrorists, we have to temporarily suspend that operation until a better vetting system is put in place.”

Priebus also said Sunday that there were elements of Islam that he found “problematic.”

“Clearly there are some aspects of that faith that are problematic and we know them; we’ve seen it,” he said on ABC’s “This Week.”

“It certainly isn’t a blanket for all people of that faith, but Mike Flynn is one of the most highly respected intelligence officers in America. Certainly no one can deny that.”

Flynn, whom Trump has tapped to serve as his national security advisor, has made a number of anti-Muslim statements, including one on Twitter this February in which he stated “Fear of Muslims is RATIONAL.”