"Our activities will start after aisha (evening) prayers in Tahrir Square and outside the Ittihadiya presidential palace and will also include nighttime Ramadan prayers," Riyam al-Masri, a leading member of the anti-Morsi Tamarod protest group, told a press conference.
She asserted that there would be no activity in other squares "to avoid any bloodshed or clashes with Muslim Brotherhood members."
Egypt's powerful army deposed Morsi, Egypt's first democratically elected president, on July 3 following mass protests against his regime.
It subsequently suspended the constitution and named Adly Mansour, the head of Egypt's constitutional court, as interim president.
Morsi supporters have since taken to the streets nationwide in mass demonstrations and sit-ins to defend his democratic legitimacy and demand his reinstatement.
Many of them have been camping out in Rabaa al-Adawiya Square in Cairo's eastern Nasr City district and in Nahda Square in Giza.
The Muslim Brotherhood and its supporters are also planning nationwide demonstrations on Friday.
Tamarod spokesperson Hassan Shaheen called on the army to take decisive action against "terrorists who throw children from the top of buildings, smash cars and open fire on citizens," in reference to recent acts of violence blamed on the Muslim Brotherhood and its supporters.
"We have tried to approach the Muslim Brotherhood youth more than once to encourage them to distance themselves from the forces of extremism, but they have not responded," he claimed.
Tamarod spearheaded the popular campaign to depose Morsi, claiming to have gathered more than 22 million citizens' signatures in support of his ouster.