The Trump administration is pressing for a deal with Harvard University that would require the Ivy League school pay far more than the $200 million fine agreed to by Columbia University, according to two people familiar with the matter.

Harvard University said on Tuesday it will comply with the demands of President Donald Trump's administration to turn over employment forms for thousands of university staff, but for the time being was not sharing records for those employed in roles only available to students.

Columbia settled with the Trump administration for over $220 million. Harvard is reportedly open to paying twice as much.