"I feel like Huck Finn listening to his own eulogy", Blankfein said in a post on Twitter.
His departure would likely lead to a quick appointment for either David Solomon, a former dealmaker, or Harvey Schwartz, the ex-CFO who worked with Blankfein in the early days of his career at Goldman Sachs in commodities trading.
Leslie Shribman, Goldman's vice president of media relations, declined to comment on the matter.
Blankfein, 63, has steered the US investment bank for almost 12 years, outlasting calls for his departure in the aftermath of the 2007-2009 financial crisis and staying in the job even as he battled cancer. Both Schwartz and Solomon have been considered successors to Blankfein in the past in reports.
Blankfein is one of only a couple big Wall Street CEOs who ran their firms before the financial crisis and still are at the helms today.
Blanknfein, the longest serving CEO at Goldman, succeeded Henry Paulson in 2006, who left to serve as Secretary of the Treasury. Much of his work in recent years has been repairing the bank's image after Congressional hearings and media scrutiny focusing on the firm's role in the mortgage bond bubble that helped bring about the financial crisis.
Gary Cohn, who previously was Goldman's chief operating officer, left previous year to become chief economic adviser to President Donald Trump.