President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE's personal attorney Rudy Giuliani said Wednesday that 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 may have additional questions for Trump.

Giuliani told CNN that Trump's legal team, which said Tuesday that it had submitted written answers to Mueller, is willing to answer follow-up questions from the special counsel in its investigation of Russian interference in the 2016 election.

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"We'll consider them and answer them if necessary, relevant and legal," Giuliani said. "If it was something that would be helpful, relevant — not a law school exam."

Giuliani also said Mueller might seek more answers from Trump on questions related to obstruction of justice.

Giuliani, who said the president's lawyers will fight back against questions they think violate executive privilege, added that obstruction questions are "not on the table, but could be back on the table."

The former mayor of New York City also told CNN, however, that Trump's legal team is likely to argue that Mueller's team already has what it needs on obstruction from interviews with other witnesses and that asking further questions could be a "real intrusion into privilege."

Trump's other personal lawyer, Jay Sekulow, said Tuesday the president's lawyers submitted answers to questions "regarding the Russia-related topics of the inquiry."

Trump has long decried the Russia investigation as unnecessary, claiming that it is a "witch hunt" and maintaining that there was no collusion between his campaign and Russia.

Giuliani also told CNN that he doesn't believe any of Trump's answers will surprise the special counsel.

"None of the answers have changed. Maybe we corrected a date or two. Nothing important changed," he said.