Attorney General William Barr Bill BarrFederal prosecutor speaks out, says Barr 'has brought shame' on Justice Dept. Why a backdoor to encrypted data is detrimental to cybersecurity and data integrity FBI official who worked with Mueller raised doubts about Russia investigation MORE told President Trump Donald John TrumpBiden says voters should choose who nominates Supreme Court justice Trump, Biden will not shake hands at first debate due to COVID-19 Pelosi: Trump Supreme Court pick 'threatens' Affordable Care Act MORE that he thinks the president'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 is a liability amid increased scrutiny over Giuliani's involvement in the administration's policy toward Ukraine as part of the House’s ongoing impeachment inquiry, The Washington Post reports.

The newspaper, citing unidentified sources, reports that Barr has expressed concerns to Trump about Giuliani being a liability for the administration. He also reportedly warned Trump in one conversation that the lawyer is not serving him well.

Giuliani’s business dealings in Ukraine have come under scrutiny in recent weeks as his name comes up in the impeachment proceedings. House Democrats have argued that the lawyer went too far in his efforts to push Kyiv to investigate former Vice President Joe Biden Joe BidenBiden says voters should choose who nominates Supreme Court justice Trump, Biden will not shake hands at first debate due to COVID-19 Joe Biden should enact critical government reforms if he wins MORE, a leading 2020 Democratic president candidate, and his son Hunter on unfounded allegations of corruption.

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The lawyer is also reportedly under scrutiny as part of an ongoing investigation in the Southern District of New York.

However, Giuliani has maintained in his discussions with the president that he is not in trouble with the law, according to the Post.

Reports emerged from the Post and The New York Times last month that Giuliani pursued financial deals in Ukraine while seeking investigations for the president at the same time. According to both reports, he began negotiations to add Ukraine’s former top prosecutor Yuri Lutsenko and the Ukrainian Ministry of Justice to his client list earlier this year.

The lawyer reportedly suggested taking Lutsenko on as a client while working with the prosecutor to press for probes into the Biden family.

Giuliani has repeatedly denied reports of his business dealings in Ukraine and contends that neither of the deals were completed.

He also raised eyebrows earlier this month with his recent trip to Ukraine amid the impeachment inquiry. During the trip, he met with several Ukrainian officials as he pushes for more scrutiny of the Biden family.

Trump said last week that Giuliani will be delivering a report on information he uncovered during the trip to Congress and Barr.