Students supporting Morsi regularly hold demonstrations calling for his release at several Egyptian universities and in particular at Cairo's Al-Azhar university, a prestigious seat of Sunni Islamic learning.
The 36 students were found guilty of holding a violent protest in December, rioting, blocking roads in front of the university and showing aggression against the security forces, the sources said.
Each of the accused was also fined 30,000 Egyptian pounds (about USD 4,300/3,300 euros).
Since his overthrow, a crackdown targeting his supporters has seen more than 1,400 people killed in street clashes, over 15,000 jailed and hundreds sentenced to death after speedy mass trials.
Morsi, Egypt's first freely elected president, himself faces three trials on various charges, including of colluding with militant groups.