But the latest move comes after a New York Times report of Rosenstein comments in May 2017. Although the outlet's social media handles promoted the story as if Rosenstein's resignation was definitive, White House press secretary Sarah Huckabee Sanders disputed the reporting. The suggestion was that no decision on Rosenstein's fate would come before President Donald Trump's return to Washington from his trip to the United Nations in New York City.
Rosenstein denied a report in the New York Times last week that alleged he wanted to surreptitiously record Trump and discussed rallying cabinet members to invoke the 25th amendment to remove the president from office.
In the wake of the Times report last week, Democratic Rep. Adam Schiff of California warned the administration against any action against Rosenstein and urged Republicans to check Trump's interference, saying it could amount to a "constitutional crisis".
White House press secretary Sarah Sanders isn't offering any reassurances special counsel Robert Mueller's Russian Federation probe will continue if Deputy Attorney General Rod Rosenstein leaves the Justice Department.
"If the rumours of Deputy AG's Rosenstein's departure are true, I am deeply concerned that it puts that investigation at risk".
The question of whether Rosenstein would be fired or resigned would have significant implications because it would affect whether Trump could hand-pick the next deputy attorney general.
After all, why would the man who had launched Robert Mueller's investigation clear the way for its untimely death? He reportedly verbally resigned to a White House official over the weekend before that could happen.
President Trump could potentially bypass the Justice Department's succession order by invoking the Vacancies Reform Act of 1998 (VRA), which lays out general rules for temporarily filling vacant executive branch positions when the prior holder "dies, resigns, or is otherwise unable to perform" their duties.
Rosenstein was sworn in deputy attorney general on April 26, 2017.
McCabe memorialised discussions he had with Rosenstein and other senior officials in the stress-packed days immediately following James Comey's firing as Federal Bureau of Investigation director.
"I don't want to comment on it until I get all the facts", the president said of the reports about Rosenstein's conduct.
Mr McCabe was sacked by US Attorney General Jeff Sessions in March after the Justice Department's internal watchdog accused him of misconduct.
The White House says Trump and Rosenstein will meet Thursday.
Some legal experts argue that such a replacement would not be able to oversee the Mueller probe because Rosenstein is doing so as acting attorney general.
Sanders also wouldn't say that the president has confidence in Rosenstein but only that he has "confidence in the system".
"We expect that it should and, again, they've spent a year and a half and found nothing that has anything to do with this president because there was nothing", she added in response to Stephanopoulos pointing out that Mueller's probe has resulted in several convictions.