It has also asked for the names and addresses of those who provided information about the irregularities.
The ministry sought the information in a letter sent to TIB Executive Director Iftekharuzzaman on Monday.
On June 30, the independent pressure group released a report - 'Private Universities: Challenges of Good Governance and Ways Forward' - and sent it to the ministry right after its publication.
The TIB report claimed millions of taka change hands at private universities for unethical purposes.
It said almost anything is possible with under-the-table payments at these universities -- from getting pass marks by paying Tk 500 to securing false certificates and assignments to audit to manipulate campus inspection, approval of appointments to top posts to approval of new departments and syllabus.
The report said higher the stakes and more difficult the faking, one has to pay up more -- up to Tk 30 million for a real big fix.