War veterans back Vice President Emmerson Mnangagwa to succeed the 92-year-old president.
Mugabe's wife, army colleague and ex-vice president could all replace the 92-year-old.
The influential war veterans have called on Mugabe to resign and criticized his wife Grace.
The 92 year-old leader said he was going to India on Monday and hasn't been seen since.
The world's oldest head of state isn't planning on going anywhere soon.
Joice Mujuru was sacked in December 2014 after Mugabe accused her of plotting to overthrow him.
When he finally goes, the world's oldest head of state could leave a disaster in his wake.
At 91 years old, the President's 34-year reign is coming to an end and national talk has turned to who will succeed him.