Khabar published what it said was a letter from the President to Kamran Daneshjoo, the Minister of Science, Research, and Technology, calling for the firings.
Reports also claim Ahmadinejad is insisting on the dismissal of the head of Jahad Daneshqai University and Amir Kabir University.
An EA correspondent suggests that the reason for these requests is because the four University Presidents oppose Ahmadinjad's close confidante and advisor Esfandiar Rahim-Mashai studying for a Master's degree.
Some observers believe the Guardian Council could use Rahim-Mashai's lack of a postgraduate degree to prevent him from standing for President.
Hashemi was detained in September on charges, imposed in 2011, of spreading propaganda against the Islamic Republic. The court also banned her from political activities for five years.