JKUAT has campuses in Tanzania and Rwanda, while Kenyatta University has one in Kigali, all offering undergraduate and post-graduate courses.
Prof Some said the law does not give the commission a role in accrediting courses outside Kenya, but they would crack down on them.
Universities in foreign nations are seen to be doing so for profit because they do not admit government students.
A parliamentary watchdog has launched investigations into how two Kenyan public universities invested millions of shillings to set up campuses in Rwanda and Tanzania.
The Public Investments Committee (PIC) in the National Assembly, chaired by Adan Keynan (Eldas, ODM), has asked vice-chancellors of Kenyatta University and Jomo Kenyatta University of Agriculture and Technology (JKUAT) to explain their investments in those countries.
