Top Congress leaders will be part of the protest outside the Central Bureau of Investigation headquarters in the national capital, while state leaders, including state party chiefs, will take part in similar protests.
Top Congress sources said the party will ask the prime minister to apologise to the nation for "illegal and unconstitutional" sending on leave of the CBI director. The party will also seek reinstatement of Verma.
A late-night order on Tuesday from the Appointments Committee of the Cabinet led by Prime Minister Narendra Modi sent Verma and Special Director Rakesh Asthana, who were at loggerheads, on leave.
Besides sending Verma and Asthana on leave, the government also transferred several CBI officials and appointed M Nageswar Rao as the interim chief of the agency.
Verma moved the Supreme Court on Wednesday challenging the government's decision after which it agreed to hear his plea on Friday.