WASHINGTON — President Obama will soon accelerate his efforts to put a lasting imprint on the country’s judiciary by simultaneously nominating three judges to an important federal court, a move that is certain to unleash fierce Republican opposition and could rekindle a broader partisan struggle over Senate rules.

In trying to fill the three vacancies on the 11-member United States Court of Appeals for the District of Columbia Circuit at once, Mr. Obama will be adopting a more aggressive nomination strategy. He will effectively be daring Republicans to find specific ground to filibuster all the nominees.

White House officials declined to say who Mr. Obama’s choices will be ahead of an announcement that could come this week, but leading contenders for the spots appear to include Cornelia T. L. Pillard, a law professor at the Georgetown University Law Center; David C. Frederick, who often represents consumers and investors at the Supreme Court; and Patricia Ann Millett, a veteran appeals lawyer in Washington. All three are experienced lawyers who would be unlikely to generate controversy individually.

Several legal advocates who have been in communication with the West Wing said officials had repeatedly discussed those names in recent months.