Polygraph tests have been ongoing for three weeks and Homeland Security Secretary Kristi Noem said identified leakers could face up to 10 years in prison.
The last time a military flight was used for deportation was on March 1 and another flight which was scheduled for Thursday was cancelled, said an official.
Donald Trump introduced a new "gold card" that immigrants can purchase for $5 million. He proposed it as an alternative to the existing EB-5 visa program.