The government's decision to raise the price of bread was the cause of the demonstrations, but Sudan's President Omar Hassan al-Bashir sacked the health minister.
The shortage of medicines and rising prices have angered already angry protesters over the price hike of major commodities.
Sudanese drug companies are no longer able to import drugs after years of tight foreign exchange.
The study was suspended in Khartoum "indefinitely" since December 23 when protests began.
The study has been suspended in other cities where demonstrations have been held, but it is not clear whether schools will resume.
Police fired teargas to disperse hundreds of protesters in the capital, Khartoum, amid calls for a march to the presidential palace.
The protesters chanted slogans calling for the overthrow of the government of President Omar al-Bashir, who has been in power for nearly 30 years.