Surest sign yet the military leader is prepared to assume formal control of the new government.
Scuttles rumors he was on verge of announcing a presidential bid.
Egypt's military-backed interim government has resigned, Prime Minister Hazem Beblawi has announced.
The claim came during the second hearing of ousted leader's trial on espionage charge.
Russia's leader said he was "aware" of the military chief's desire to run, though no announcement has been made.
Spokesman for Field Marshal Abdul Fattah al-Sisi said a Kuwaiti report had not been accurate.
Security sources say that Field Marshal Abdul Fattah al-Sisi will resign and announce his candidacy within days.
Revised document draws massive support in poll some see as unbalanced, paving way for extended military rule.
Voters are expected to endorse the removal of Islamist President Mohammed Morsi.
Security is tight in Egypt ahead of two days of voting in a referendum on a new constitution, which could pave the way for fresh elections.