President Donald Trump’s administration urged the US Supreme Court to turn away a request for fast-track review of his sweeping tariffs, saying the justices should give lower courts more time to weigh in.

In a separate and broader challenge, the Court of International Trade also ruled against the administration’s tariffs program. A different appeals court, the Federal Circuit, is set to hear arguments in that case next month. Both lower court rulings have been paused, allowing Mr. Trump to press forward with his tariffs.