President Donald Trump appears to have put his campaign to remove Federal Reserve Governor Lisa Cook on hold this week, after Democrats swept Republicans out of their House and Senate majorities in Tuesday's elections, Bloomberg reported.

Lawyers for the U.S. Justice Department joined Cook's attorneys in asking a federal judge to pause the legal battle over Trump's attempt to fire Cook, as the White House prepares to set a hearing on the litigation in December.

"Legal teams for DOJ and Cook filed a brief, joint report on Friday to U.S. District Judge Jia Cobb saying the court should pause upcoming deadlines and that they'd come back to her with another update in early January," Bloomberg reported.

Trump announced that he was firing Cook "effective immediately," citing allegations of mortgage fraud. A successful removal would allow Trump to select a replacement more open to interest rate cuts. Fed governors are nominated to staggered 14-year terms and vote on the Federal Open Market Committee, the panel that sets the benchmark U.S. interest rate. Cook has denied wrongdoing and has accused Trump of trying to remove her in a bid to undermine the central bank's independence. Trump has openly attacked both Cook and former Fed Chair Jerome Powell for refusing his demands to cut interest rates.

Critics have challenged the stated basis for the removal. Bulwark correspondent Andrew Egger described Trump's pretext for ousting Cook as "ridiculous."

"Trump has relied on a loyal functionary wielding a formerly nonpartisan executive-branch post as a political weapon," Egger said, referring to Federal Housing Finance Agency Director Bill Pulte, who submitted research to the White House suggesting a possible argument against Cook.

The U.S. Supreme Court sided against Trump earlier this year, ruling that he failed to give Cook a legitimate opportunity to defend herself before initially trying to fire her last year. The justices allowed Cook to remain in her post and sent the case back to Judge Cobb.

The ruling contrasts with the broader record of the Roberts Court during Trump's first nine months in office. The conservative-leaning Court has rarely hesitated to cede Trump new power, particularly on firing federal employees or inhibiting the work of federal agencies created by Congress. The Court has granted Trump administration requests to block lower court rulings in more than 70 percent of administration cases decided via the shadow docket.

Even so, the litigious president revived his effort to oust Cook in August. Bloomberg reported that there has been "no action in the case in the months that followed," and Judge Cobb is likely to keep the proceedings frozen as long as the government and Cook agree that is the best course of action.

The case nonetheless appears to be heading toward a stalemate. Bloomberg reported that Trump "convened a White House committee to investigate whether he has 'cause' to remove her — specifically digging into the unproven mortgage-fraud allegations Trump relied on to fire her the first time." Under the Federal Reserve Act, a president may remove a Fed governor only for cause — the legal standard that committee's inquiry is examining.

The panel is set to meet Dec. 14, according to a White House official. Cook and the White House are discussing the "specifics and details" of how Trump's "committee of inquiry" will proceed, the lawyers wrote in Friday's filing.