But Goldman said on Monday that Mr Schwartz will retire on April 20, leaving Mr Solomon as the most likely contender.
On Monday morning Goldman announced that Mr Schwartz would leave the bank after a 20-year career, mostly in the securities division.
She Drugged Kids Into Sleep, Went Tanning, to CrossFit
But she also admitted that she had done wrong. "I don't say that to be mean to you - simply a gap there. There were other causes of concern: diaper rash, allegations of scratching, evidence of poor nutrition.
"I look forward to continuing to work closely with David in building our franchise around the world, serving our expanding client base and delivering strong returns for our shareholders", Blankfein said in a statement.
The report did add that the timing of a move could change, and that Blankfein was "firmly in control of his exit", but the current plan was that he would retire ahead of, or early in, Goldman's 150th anniversary year in 2019. When the Journal published its story, Blankfein took to Twitter and said the announcement was like "Huck Finn listening to his own eulogy". Prior to taking on the role of President and co-COO in January 2017, Schwartz was GS' CFO for four years. Schwartz came up through Goldman's trading business, where he played a central role during the 2008 financial crisis.
PAOK Salonika president enters the pitch with gun after disallowed goal
Fernando Varela thought he had scored a late victor for PAOK, only for his effort to be ruled out for offside. The goal was ultimately disallowed, meaning PAOK were unable to usurp their rivals at the top of the table.
He and Solomon were named co-COO in December 2016 in a setup that appeared to pit the two against each other to eventually lead what is viewed as the most powerful United States investment bank.
Goldman Sachs CEO Lloyd Blankfein grew up in public housing in the East New York section of Brooklyn.
Solomon rose through the financing business after joining as a partner from Bear Stearns Cos. and ran the firm's top-ranked investment-banking business for a decade.
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However, the police managed to disperse them after a while and shifted the suspects to an unidentified place for interrogation. The attack on the former prime minister drew widespread condemnation from all mainstream political and religious parties.
If Solomon does inherit the CEO job from Blankfein, he may have his work cut out for him.