Apparently, there is already a ban in the medical school and teaching hospitals affiliated with Cairo University, along with the academic staff on campus.
MP Amna Nosseir, professor of comparative jurisprudence at Al-Azhar University, who has backed the ban, said that wearing the veil is not a requirement of Islam and in fact has non-Islamic origins. She has argued that it is a Jewish tradition which appeared in the Arabian Peninsula prior to Islam and that a variety of Quran passages contradict its use. Instead, she has advocated that the Quran calls for modest clothing and covered hair, but does not require facial covering.
Good on them.