Sen. Marco Rubio Marco Antonio RubioGOP lawmakers distance themselves from Trump comments on transfer of power McConnell pushes back on Trump: 'There will be an orderly transition' Graham vows GOP will accept election results after Trump comments MORE (R-Fla.) said Sunday that it's in President Trump Donald John TrumpSteele Dossier sub-source was subject of FBI counterintelligence probe Pelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' Trump 'no longer angry' at Romney because of Supreme Court stance MORE's best interest to let special counsel Robert Mueller Robert (Bob) MuellerCNN's Toobin warns McCabe is in 'perilous condition' with emboldened Trump CNN anchor rips Trump over Stone while evoking Clinton-Lynch tarmac meeting The Hill's 12:30 Report: New Hampshire fallout MORE complete his investigation into Russian interference in the 2016 election.

Rubio, appearing on "Fox News Sunday," echoed a number of his Republican colleagues in defending the special counsel in the face of Trump's call last week for Attorney General Jeff Sessions Jefferson (Jeff) Beauregard SessionsRoy Moore sues Alabama over COVID-19 restrictions GOP set to release controversial Biden report Trump's policies on refugees are as simple as ABCs MORE to end the Mueller investigation.

Rubio said the "best thing that can happen" for Trump and the country is for the investigation to "run the course and for all the truth to come out."

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He added that he believes any strong evidence that the president's campaign directly colluded with Russia would have leaked by now.

Asked if he believes Trump should sit for an interview with the special counsel, Rubio said he wouldn't "pre-judge" if the president declined an interview.

"There are plenty of people who are innocent whose lawyers would tell them not do sit down and answer questions from a prosecutor because there's all sorts of other problems involved in that," Rubio said.

Trump has said he'd like to speak with Mueller, but his attorneys have cautioned against it. The two sides are in negotiations about a potential interview, with Mueller reportedly offering to limit his questioning.

As part of a recent escalation of attacks on the Mueller investigation, Trump tweeted last Wednesday that Sessions "should stop this Rigged Witch Hunt right now, before it continues to stain our country any further."

The tweet drew pushback from a number of Republicans, and a significant bloc of Democrats. However, some Republicans, including Vice President Pence, have called on Mueller to conclude his investigation promptly.

The New York Times reported that Mueller is reportedly looking at Trump's use of Twitter as part of an investigation into whether the president obstructed justice.