Rudy Giuliani on Sunday argued that 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 could get caught in a perjury trap if he agrees to an interview with 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, saying "truth isn't truth."

Giuliani, who is Trump's personal lawyer in the Russia investigation, sought to explain the reason for the drawn-out negotiations between Trump's legal team and Mueller's team over a potential interview.

"I’m not going to be rushed into having him testify so he gets trapped into perjury," Giuliani said on NBC's "Meet the Press."

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"And when you tell me that he should testify because he’s going to tell the truth and he shouldn’t worry, well that’s so silly because that’s somebody’s version of the truth, not the truth," Giuliani said.

"Truth is truth,” anchor Chuck Todd responded.

"No it isn’t," Giuliani said. "Truth isn’t truth."

"Mr. Mayor … this is going to become a bad meme," Todd interjected.

Giuliani went on to say he is skeptical of having Trump speak with Mueller because the special counsel may believe former FBI Director James Comey James Brien ComeySteele Dossier sub-source was subject of FBI counterintelligence probe Judge will not dismiss McCabe's case against DOJ Democrats fear Russia interference could spoil bid to retake Senate MORE or another witness's account of events if it contradicts the president.

"We have a credibility gap between the two of them," Giuliani said. "You’ve got to select one or the other."

WATCH: Rudy Giuliani tells @chucktodd that he doesn’t want President Trump to be caught in a perjury trap by speaking with Special Counsel Robert Mueller. #MTP #IfItsSunday



Giuliani: “Truth isn’t truth" pic.twitter.com/SChZbfgAOX — Meet the Press (@MeetThePress) August 19, 2018

Trump's legal team and Mueller's team have been locked in a months-long back and forth over a potential interview with the president. Trump has maintained he'd like to speak with investigators, but his lawyers have voiced concerns he could perjure himself.

Giuliani earlier this month rejected Mueller's latest offer for interview terms, which included limiting questions about potential obstruction of justice.

Trump has repeatedly called Mueller’s investigation a “witch hunt” and a “hoax.” He has in recent days accused Mueller of a conflict of interest, though he has not elaborated.

The president on Sunday once again lashed out at Mueller, saying he should investigate Hillary Clinton Hillary Diane Rodham ClintonFox News poll: Biden ahead of Trump in Nevada, Pennsylvania and Ohio Trump, Biden court Black business owners in final election sprint The power of incumbency: How Trump is using the Oval Office to win reelection MORE, and that he makes Sen. Joseph McCarthy (R-Wis.) of the 1950s "look like a baby."