Posters calling for the head of Egypt's military council to run for president appeared in central Cairo on Wednesday.
Field Marshal Hussein Tantawi became Egypt's leader for a transitional period until elections after the armed forces sided with an uprising that overthrew President Hosni Mubarak on 11 February.
The posters showed him in uniform with the Egyptian flag as the backdrop.
A youth group called "Egypt Above All" says it wants to gather a million signatures to back him, because he would be the best presidential candidate.
The army says it will comment on the campaign in due course.
The military council intends to transfer power to civilians gradually, beginning with a parliamentary election on 28 November and ending with a presidential poll possibly by the end of 2012 or early 2013.
Tantawi, 75, was defence minister for 20 years and one of Mr Mubarak's most trusted associates.
