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 said Friday it would be "appropriate" for him to discuss opening an investigation into former Vice President Joe Biden Joe BidenBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Democratic groups using Bloomberg money to launch M in Spanish language ads in Florida Harris faces pivotal moment with Supreme Court battle MORE and his family with Attorney General William Barr Bill BarrHarris faces pivotal moment with Supreme Court battle Hillicon Valley: DOJ proposes tech liability shield reform to Congress | Treasury sanctions individuals, groups tied to Russian malign influence activities | House Republican introduces bill to set standards for self-driving cars McCarthy threatens motion to oust Pelosi if she moves forward with impeachment MORE.

Trump told Politico in an interview Friday that he hasn’t talked with Barr about investigating Biden and his family's business dealings but said "certainly it would be an appropriate thing" to bring up with the attorney general.

"Certainly it is a very big issue and we’ll see what happens. I have not spoken to him about it. Would I speak to him about it? I haven’t thought of that. I mean, you’re asking me a question I just haven’t thought of," he told the outlet.

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The president noted that it could be "a very big situation" for Biden, who has led the Democratic presidential primary field in polling since he launched his campaign last month.

"Because he’s a Democrat it’s about 1/100 the size of the fact that if he were a Republican, it would be a lot bigger," Trump alleged.

Trump’s personal attorney Rudy Giuliani Rudy GiulianiThe Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting CIA found Putin 'probably directing' campaign against Biden: report Democrats fear Russia interference could spoil bid to retake Senate MORE last week called for an investigation into Biden for his previous ties to Ukraine after The New York Times reported that while Biden was vice president in 2016, he allegedly threatened to withhold $1 billion in U.S. loan guarantees unless the country removed a top prosecutor. The prosecutor, who had been accused of ignoring corruption in his own office, was later voted out.

Biden’s son Hunter was a board member of an energy company that the prosecutor had been looking into, according to the newspaper.

Giuliani initially planned to travel to Ukraine to encourage Ukraine's president-elect to launch investigations into Biden and the origins of 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's Russia investigation.

However, Giuliani changed course late Friday, announcing that he had canceled his trip. The reversal came after Democrats on Capitol Hill accused him of seeking aid from a foreign government.

Biden, the front-runner among a crowded field of Democrats vying for the White House in 2020, had a 32-point lead over his competitors in a Hill-HarrisX poll released earlier this week.

Biden also surpassed Trump by six points in the first poll published after the former vice president officially announced his candidacy in April.