The appearances, however, are likely to be overshadowed by Attorney General Jeff Sessions' public appearance at a Senate intelligence committee hearing.
After President Donald Trump's friend, Chris Ruddy, said Monday night that Trump is considering firing Mueller, Rosenstein said in a Senate appropriations subcommittee hearing that Mueller can "only be fired for good cause", and it would be his job to put that good cause into writing.
"I really like Jeb Bush", Ruddy said at the time.
Days before leaving office on May 9, Mr. Comey said federal investigators had legally seized more than 6,000 smartphones and electronic devices during a recent six-month span but found that 46 percent couldn't be opened "with any technique".
President Trump has railed against the Russian Federation investigation, describing it as a "witch hunt". That was not so, he said. Sessions told senators on Tuesday that he'd recused himself because he was part of Trump's campaign.
Democratic Sen. Ron Wyden of OR aggressively asked Sessions about suggestions arising from Comey's testimony last week that there was something "problematic" about his recusal. He, apparently, couldn't find a single pro-Trump attorney to hire and I just think that's a rigged game. "Wyden, there are none", Sessions insisted, his voice rising. Mueller's inquiry may also now include questions about whether Trump tried to influence the FBI investigation.
Sen. Susan Collins, R-Maine, asked Rosenstein at a budget hearing Tuesday what he would do if Trump ordered him to fire Mueller, who is investigating Russian interference in the USA elections and possible Russian ties to Trump's campaign. "I have confidence in Bob Mueller". Because Attorney General Jeff Sessions has recused himself from the Russian Federation probe, the responsibility would fall to Deputy Attorney General Rod Rosenstein, who Trump could order to fire Mueller.
The White House was quick to dismiss Ruddy's comments.
"He actually does not know what we're investigating and I'm not going to talk about it publicly", he said.
Asked what he would do if Trump ordered him to fire Mueller, Rosenstein said, "I'm not going to follow any order unless I believe they are lawful and appropriate orders".
"In 2003, when Patrick Fitzgerald was appointed to investigate leaks that identified former Central Intelligence Agency officer Valerie Plame, his appointment letters made clear that he was granted 'all the authority of the attorney general, ' which was 'plenary, '" Katyal said. She said such a move would "destroy any shred of trust in the president's judgment that remains over here".
Anxiety about the probe - and fresh concerns about the political leanings of some of the attorneys involved - is percolating in the West Wing of the White House. Comey's decision to announce past year that Clinton would not be prosecuted over her emails was a "usurpation" of the Justice Department's authority, Sessions said.
"If President fired Bob Mueller, Congress would immediately re-establish independent counsel and appoint Bob Mueller", the California lawmaker tweeted. "I'm not sure what was in his mind specifically".
Gingrich said Trump is "pretty confident" that the Russian Federation investigation will go away. The person demanded anonymity to discuss strategy on the sensitive matter.
"The attorney general is still responsible for answering critical questions from this committee, " Shaheen said. "These investigations are important", Ryan said. So it's hard for me to even respond in a serious way. "And I have taken no action whatsoever with regard to any such investigation".
CECILIA VEGA: In the White House today, President Trump ignoring the question.
"I do not", Sessions said when asked whether he knows whether the president records his conversations.