Earlier this month, Federal Bureau of Investigation agents raided Cohen's Manhattan office, home and hotel room, seizing records about Cohen's clients and personal finances - including documents related to money Cohen paid porn star Stormy Daniels to remain silent about an alleged decade-old affair with Trump. Leahy has asked Sessions, who is now attorney general, to recuse himself from the Michael Cohen investigation.
The Justice Department declined to confirm or comment regarding Bloomberg's report.
That could put Mr. Sessions in a position where he asked about the Cohen probe by Mr. Trump, Bloomberg reported.
Sessions angered the president past year when he made the decision to recuse himself from the federal probe into ties between Trump campaign associates and Russian Federation.
Because he has declined to fully recuse himself, Sessions will reportedly receive briefings on the investigation, which is headed by the U.S. Attorney's Office for the Southern District of NY. He said the lawyer's $130,000 payment to the adult film star Stormy Daniels to keep her from disclosing her allegations of an affair with Trump during the 2016 campaign may have "violated federal campaign finance law". Sessions also oversaw a decision to fire FBI Deputy Director Andrew McCabe, though Trump had urged McCabe's ouster due to McCabe's role in probes related to both major 2016 presidential candidates.
Immediately after the Cohen raid, Trump responded angrily, calling it "a disgrace" and "an attack on our country".
Over the weekend, Trump tweeted that he doubts his longtime "fixer" would flip and cooperate with investigators. Sessions could even influence decisions by prosecutors, including whether they should pursue subpoenas.
Geoffrey Berman, the US attorney in the Southern District of NY, has recused himself from the Cohen probe, according to a USA official.