The Anti-Coup Alliance said in a statement today that protests will last until February 11- the day when Morsi's predecessor, long-time ruler Hosni Mubarak, stepped down in early 2011 after an 18-day uprising against his decades-old regime.
Saturday, the third anniversary of the 2011 revolt, promises to be a tense day.
Interim interior minister Mohamed Ibrahim has also called for demonstrations on that day to counter what he said was an Islamist "plot to spark chaos", an unusual appeal from the top police official tasked with enforcing a law that restricts protests.
The alliance said the objective of its protests was to "end the military rule which has committed most if not all the awful and shameful crimes since January 25, 2011 which peaked during the military coup" that ousted Morsi.
Morsi, Egypt's first democratically elected president, was removed by the army on July 3 after mass protests against his year-long rule.
The alliance said its protests will be "non-violent... And peaceful", but their rallies have often turned into street clashes with Morsi opponents and security forces.