President Donald Trump is "unlikely" to choose his top economic advisor Gary Cohn as the next Federal Reserve chairman, The Wall Street Journal reported Wednesday, citing sources.

Trump soured on appointing Cohn to lead the central bank after the White House advisor criticized the president's reaction to violence at a white supremacist rally in Virginia last month, according to the Journal.

The report follows Fed vice chairman Stanley Fischer's decision to step down in October. Fischer's departure makes it appear even less likely that current Fed Chair Janet Yellen will stay in the job beyond the end of her February 2018 term, Fed watchers told CNBC.