The interview, set to air Saturday evening, was intended to address cabinet issues, including opposition demands Morsi dump Prime Minister Hisham Qandil, Ahram Online reported.
Citing a source in Morsi's government, the report said Morsi was expected to discuss Egypt's request for a loan from the International Monetary Fund and Egypt's relations with the United States, Palestine, Syria and African nations -- as well as the conflict between Morsi and Egypt's judiciary.
The Muslim Brotherhood, to which Morsi has strong ties, held a rally Friday demanding a "pure of all [Hosni] Mubarak-era figures from the judicial authority."
The television interview was being taped Saturday afternoon at the al-Qubba Presidential Palace in Cairo.
Morsi spokesman Omar Amer said Thursday the interview was to have been carried live Saturday. Morsi has not given a live interview since taking office in June 2011.