A march led by the April 6 Youth Movement will avoid Tahrir Square due to ongoing clashes between pro- and anti-Muslim Brotherhood protesters.
The march will be diverted to the public prosecutor's office in downtown Cairo, the group said in a statement.
"We see no point in further clashes," the statement added.
There have been ongoing scuffles between pro- and anti-Brotherhood protesters in the square since late morning with a number of injuries reported.
April 6 warned the Muslim Brotherhood against "continuing with its superior attitude towards other political currents" and urged it to enforce discipline on its members.
Liberal and leftists forces have called for a protest dubbed "Accountability Friday" to mark the end of President Mohamed Morsi's first 100-days in office and to demand a reformed Constituent Assembly that represents all Egyptians. They are also calling for the implementation of a minimum and maximum wage and a reduction in the price of basic commodities.
The Muslim Brotherhood and other Islamists forces have called for a simultaneous protest, also in Tahrir Square, to condemn the acquittal of 25 former regime figures who were accused of involvement in the Battle of the Camel during the January 25 Revolution.