The decision means an escalation in the attempts to get the university to follow the president's line, according to the newspaper that has taken part of a letter to Harvard from Kristi Noem, minister for internal security.
Neither the department for internal security nor Harvard has commented on the message yet.
Trump has previously stopped over two billion dollars in support to the university.
The educational institution has been punished with increasingly harsh penalties from the White House after refusing to submit to demands from the government. The Trump administration demands, among other things, that schools discontinue efforts on diversity, justice, and inclusion – so-called DEI programs – and ban masking at demonstrations on campus areas.
The White House has publicly motivated the campaign as a reaction to the "uncontrolled anti-Semitism" that they claim is growing on universities, following the noted protests against Israel's war in Gaza that took place on several campuses last year.
Democrats have claimed that Trump's actions against Harvard are politically motivated.