That's because the Justice Department is supposed to be independent of politics.
It also follows interviews in which Mr Trump said he was "very frustrated" that he couldn't get the department of Justice or FBI to investigate what he believed was wrongdoing under his predecessor.
This morning at a House Judiciary Committee hearing, Rep. Jim Jordan (R-OH) pressed Sessions for a special counsel investigation into how former FBI Director James Comey handled the Clinton probe during the election.
Democrat Congressman, Adam Schiff, criticised the move by Sessions to consider a second special prosecution.
"If he (Mr Sessions) or his deputy authorises a new investigation of Mrs. Clinton, it would shatter norms established after Watergate that are meant to prevent presidents from using law enforcement agencies against political rivals", The New York Times said today.
Cards Against Humanity buys land along Mexican border to block wall
Cards Against Humanity says their campaign "saves America" and says they've purchased a piece of the border to block the construction.
A day earlier, the Washington Post reported Sessions ordered top prosecutors in the department to look into these areas and report back to him, possibly to make the case for a special prosecutor.
On Monday the Justice Department informed the committee it was weighing proposals to name an special independent counsel to investigate the FBI's handling of a probe past year into the Democrat Clinton's use of a personal server for official and in some cases classified emails, in breach of government rules. Republicans have suggested that the deal, which required US approval from a multiagency board that included Clinton's State Department, should have been blocked because of a separate corruption probe involving Russian uranium shipments. Fox News host Sean Hannity, who is also an informal adviser to the president, has called for a special counsel to probe the uranium deal and has said that because Mueller was the director of the Federal Bureau of Investigation at the time Uranium One was purchased, Mueller should be removed from his role probing the Trump White House.
Former federal prosecutor Andrew McCarthy said he doubted there was any prosecutor appointment or assignment that would lead to Mueller stepping down. "And if you're now just considering it, what is it going to take to get a special counsel?"
But we know one fact.
"'Looks like' is not enough basis to appoint a special counsel", Sessions said.