The Office of Government Ethics next week will release copies of about two dozen ethics waivers for officials working at federal agencies showing which members of the administration are working on issues they handled in their private-sector jobs, agency director Walter Shaub said.

The new waivers are in addition to ones President Donald Trump granted to at least 16 White House officials—copies of which the administration released earlier this week.

In his first four months in office, Mr. Trump granted as many waivers to White House officials as Mr. Obama did in eight years in office. Over the course of his two terms, Mr. Obama also granted about 50 waivers to officials in federal agencies, not including the White House; in four months, Mr. Trump has already handed out about half as many.

The Office of Government Ethics has received responses to its request on waivers—which were due by June 1—from 135 of 136 agencies so far. Its requests were part of an effort to determine if the Trump administration was following federal ethics rules—including an executive order Mr. Trump signed in January requiring former lobbyists to recuse themselves from matters on which they had lobbied for two years after their appointment. The agency engaged late last month in a back-and-forth with the White House, which sought to block its effort to request information. Mr. Shaub at the time defended the agency’s right to do so, and congressional Democrats pressured the White House to release the information. The Obama administration regularly posted its ethics waivers online.

The only agency that has so far not released its waivers to the Office of Government Ethics is the Harry S. Truman Scholarship Foundation, which has fewer than 10 employees, Mr. Shaub said. A representative for the agency didn’t immediately return a request for comment.