The Beltsville business is among hundreds across the U.S. making the move.
They have not been on campus since March 13.
The university postponed move-out indefinitely Wednesday.
The staff member was known to be on campus only on March 12.
An application process is being developed for researchers who want to continue their work on-campus.
The student did not come to campus after leaving Spain, officials said.
The man was in his 60s and had an underlying medical condition.
Drive-thru and food delivery services will continue to operate, he said.
Employees who work in the Manokin Building were told to stay home on Thursday.