U.S. District Judge Allison Burroughs is presiding over two Harvard cases challenging Trump's moves to cut federal funding from the university and to ban it from enrolling international students.
With more than $2 billion in federal research grants at stake, the two sides argued before a federal judge about the legality of the White House's cancellation of those funds to Harvard.
In seeking to reshape elite universities, the Trump administration is using several tactics, including freezing federal grants and contracts, and threatening colleges' tax-exempt status.
Admitted students around the world are anxiously tracking the school's feud with the Trump administration, which is seeking to keep it from enrolling international students.
A letter from the U.S. General Services Administration, which is dated Tuesday, tells agencies to submit a list of contracts they have terminated with the university by June 6.
This comes in response to a lawsuit Harvard filed on Friday morning, challenging the Trump administration's abrupt move to revoke the school's ability to enroll foreign students.
International students make up more than a quarter of Harvard University's student body. Harvard says the government's actions, which could cut off a major revenue stream, are "unlawful."
The university's president convened two panels to study campus antisemitism and anti-Muslim bias last year. Harvard said it will begin implementing at least some of the reports' recommendations.