"The White House would benefit from some systems in place that perhaps avoids some of the unnecessary friction points that come up on a daily basis," Sen. Marco Rubio said. | AP Photo Rubio: White House needs to reduce friction and drama

Sen. Marco Rubio said Sunday that the escalating, daily drama from the Trump White House is "different from anything we've ever confronted" and that the administration would benefit from a better approach to dealing with it.

In an interview with CBS' "Face the Nation," the Florida Republican echoed Senate Majority Leader Mitch McConnell (R-Ky.), who said Tuesday, "We could do with a little less drama from the White House."


"The White House would benefit from some systems in place that perhaps avoids some of the unnecessary friction points that come up on a daily basis," Rubio said.

But, Rubio said, "People got what they voted for." He ran against Donald Trump during the GOP presidential primary.

"I don't understand why people are that shocked," Rubio said. "This president ran a very unconventional campaign."

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Asked about the investigation into the Trump team's ties with Russia, Rubio said in an interview on CNN's "State of the Union" that he wouldn't adopt the president's description of a "witch hunt."

"There's no doubt that this cloud is impacting everything else," Rubio said. "And I think the White House would acknowledge that. So, we need to get over this once and for all. And the best way to do it is to have a process in place to arrive at the facts, no matter what they are."