On Monday, Trump attorneys Jay Sekulow and Rudy Giuliani called for Mueller's probe - which Trump has long called a "hoax" and a "witch hunt" - to be put on hold if Rosenstein gets the boot.
Last Friday the New York Times published a bombshell story reporting that in May of 2017 Deputy Attorney General Rod Rosenstein suggested that he and people interviewing for the job of Federal Bureau of Investigation director should "wear a wire" to record the utterances of President Trump.
As the Washington Post's Aaron Blake explains on Twitter, Rosenstein could potentially limit the president's ability to appoint a successor if he forces him to fire him, whereas the president could pick whomever he chooses should Rosenstein tender his resignation.
Speculation heightened that the Trump administration would nix Mueller's investigation should Rosenstein exit the Justice Department.
The person said Rosenstein had expressed to others that he should resign because he "felt very compromised" and the controversy hurt his ability to oversee the Russian Federation inquiry, said a person close to Trump. Rosenstein was captured by photographers leaving the White House after his meetings Monday and was led out by Kelly, later returning to the White House. After all, Trump told Geraldo Rivera in an interview set to air Monday that he wouldn't fire Rosenstein until he had "all of the facts". In other cases, Trump has publicly and privately shamed a staffer, pushing them to resign of their own volition. Only the Times knows who's leaking these "erratic" Rosenstein tales and it's not clear its reporters know whether they are being used for nefarious purposes (or whether they care).
Trump's Supreme Court nominee Brett Kavanaugh is mired in allegations of sexual misconduct that have derailed what seemed like a certain path to a lifetime appointment on the nation's most powerful court. Over the past 24 hours there's been confusion about whether Rosenstein resigned, or is expecting to be fired.
Associated Press is reporting that Trump is angry and asking confidants, both inside and outside the White House, how to respond. He received mixed messages. Mr. Rosenstein had become convinced that he should resign, according to people close to him. Others suggested restraint while seeing if the report was incorrect or if it was planted by some adversary.
US Deputy Attorney General Rod Rosenstein is overseeing the investigation into alleged Russian interference during the 2016 election.
Rumors of the impending firing of Deputy Attorney General Rod Rosenstein flooded the internet today - but the controversial figure has survived to see another day as the man responsible for overseeing the Mueller investigation. A spokesman for Mueller declined to comment.
"If the rumours of Deputy AG's Rosenstein's departure are true, I am deeply concerned that it puts that investigation at risk". Days later, Rosenstein appointed Mueller, and the special counsel has since been examining the firing of Comey and whether it was part of a pattern of behaviour that amounts to obstruction of justice by the president.