Senate Republicans say they'll oppose any nominee, no matter party affiliation, to lead the organization unless the office created after the 2008 Wall Street financial meltdown is significantly changed.
Republicans argue there is too much power concentrated in the office.
Obama has re-nominated bureau director Richard Cordray, who had been named in a recess appointment last year.
Warren, who helped create the bureau, said the agency helps protect Americans when they take out credit cards or enter into mortgages.
Warren, Rhode Island Sen. Jack Reed and Ohio Sen. Sherrod Brown will call on Republicans Wednesday to allow a vote on Cordray's nomination.
