WASHINGTON — House Democrats, recovering from their failed push to remove President Trump from office, are making a sharp pivot to talking about health care and economic issues, turning away from their investigations of the president as they focus on preserving their majority.

Top Democrats say that oversight of the president will continue, and they plan in particular to press Attorney General William P. Barr over what they say are Mr. Trump’s efforts to compromise the independence of the Justice Department. But for now, at least, they have shelved the idea of subpoenaing Mr. Trump’s former national security adviser, who was a central figure in the president’s impeachment trial.

In a series of private meetings over the past week, and in written instructions she distributed to lawmakers Thursday before a recess this week, Speaker Nancy Pelosi made clear that the emphasis must shift.

“Health care, health care, health care,” the speaker said, describing the party’s message during a recent closed-door meeting, according to a person in the room who insisted on anonymity to reveal private conversations. She said they had to be laser-focused on getting re-elected: “When you make a decision to win, then you have to make every decision in favor of winning.”