But Graham said Barr indicated he will not interfere with Special Counsel Robert Mueller's probe, if confirmed as the successor to Jeff Sessions. Barr said he would go through the process of determining whether the Mueller report could be shared with Congress and the public when the report is finished, according to Graham.
After Sessions recused himself in May 2017 due to his connections to the Trump campaign, Rosenstein appointed Mueller to oversee the investigation.
The official, who asked not to be named since no announcement has been made, said there is no specific plan for Rosenstein's departure and that he plans to leave sometime after Barr's confirmation. "My guess is that he is making room for the new attorney general to build a team that he wants around him".
Barr met with Republican lawmakers as he works to build support for Senate confirmation as the top u.s. law enforcement official, and is slated to meet with the panel's top Democrat on Thursday, according to a department official.
But he has been a frequent target of President Donald Trump's criticism.
Kim Jong Un Makes Fourth Trip to China, At Xi Jinping's Invitation
Kim's trip comes as the USA and North Korea look to settle the North's decades-long pursuit of a nuclear arsenal. Kim made two visits to China before his June 12 summit with Trump, and one after the Singapore summit.
The newspaper also reported that he suggested secretly recording Mr Trump to expose White House turmoil and dysfunction.
"Deputy Attorney General Rod Rosenstein is out - oh wait, he isn't, but he might be soon".
CNN said Barr told the White House he wanted his own deputy.
Trump also shared a photo on Twitter in November showing Rosenstein and others criticized by the president behind bars, calling for them to be tried for "treason".
Rosenstein plans to leave at some point after that, though no date has been set and there is no formal plan for the departure, according to the person, who was not authorized to discuss internal conversations publicly and spoke on the condition of anonymity.
On Wednesday, Republican Senator Lindsey Graham said Barr would permit Mueller to complete the investigation into Russia's role in the 2016 presidential election. Barr, Graham said, told him he didn't think Mueller was on a "witch hunt", as Trump has branded the Mueller probe. But Democrats will use the hearing as an opportunity to extract commitments from the nominee about his approach to the Mueller investigation.