President Donald Trump had appeared to raise that possibility earlier on Friday when asked whether he retained confidence in Rosenstein in the fallout over a Republican memo about the ongoing Russian Federation probe.
Asked by reporters Friday whether he has confidence in Mr., the president said dismissively, "You figure that one out".
At the hearing, Rosenstein repeatedly declined to say whether Trump had ever asked him about the Russia Investigation.
The controversial Nunes memo was released on Friday after Trump gave a green signal to it.
The White House later told CBS News "there is no conversation or consideration about firing Rob Rosenstein".
NPR's Carrie Johnson reported that Democratic leaders in Congress rushed to respond to Trump's potential move against Rosenstein.
"The memo purports to "prove" that surveillance of a top Trump official was improperly based on Dem-funded research, thus "proving" that the probe's genesis is irrevocably tainted and that it represents a Deep State Coup to remove the president", Sargent writes.
Jose Mourinho explains why he dropped Paul Pogba
I prefer to look at it in the handsome way of a little kid that arrived here at 9 years old with mum for the first training session.
It was reportedly just days after Comey's May firing that special counsel Robert Mueller expanded his investigation into Russian meddling to include possible obstruction of justice by the Oval Office.
Rosenstein, who had been confirmed by the Senate 94 to 6 and was known as an independent and apolitical prosecutor, was harshly attacked for his role in the Comey firing.
The Justice Department declined to comment for this story.
Recently, Rosenstein defended Mueller when Rosenstein was questioned by the House Judiciary Committee about whether bias might have tainted the special counsel's investigation. But when asked during his December testimony whether he had been asked to take a loyalty pledge, Rosenstein said no.
Democrats on the House intelligence panel had tried to block the memo's release. Along with FBI Director Christopher Wray, he made a last-ditch plea this week to White House Chief of Staff John Kelly about the dangers of releasing the document.
They also criticized House Intelligence Committee Chairman Devin Nunes for not having read the classified material that formed the basis for the memo.