When asked by a Sinclair Broadcast Group reporter if he made such a threat, Rosenstein responded, "No, I'm not quitting."
The Washington Post reported late Wednesday, citing a person close to the White House, that Rosenstein threatened to resign after White House press officials repeated a narrative which painted him as the key influence that led to Comey's dismissal.
The Trump administration has said Comey was terminated because of his handling of the FBI's investigation into Hillary Clinton's emails. The White House insists that Rosenstein and Attorney General Jeff Sessions initiated the conversation about Comey and that the president simply accepted their recommendation for his removal.
The Wall Street Journal reported Thursday, citing a person familiar with the conversation, that Rosenstein had urged White House counsel Don McGahn to amend the administration's portrayal of the process that led to Comey's firing.
The person told the Journal that the deputy attorney general implied he "couldn't work in an environment where facts weren't accurately reported."
The Justice Department declined to comment.