Appearing at the annual Time Warner shareholder meeting in Atlanta's CNN Center, Parsons all but confirmed he would soon leave his position as head of the media conglomerate, The Hollywood Reporter said.
"This is my last shot at this," Parsons said at Friday's gathering in Atlanta.
"I'll be the outgoing chairman after this."
Yet Parsons did add the word "probably" to his comments, leaving room for him to maintain his position with Time Warner.
If Parsons does step down in the coming months, the favorite for his position is Time Warner Chief Executive Officer Jeffrey Bewkes, the Reporter said.
The newspaper said at Friday's meeting in Atlanta, a request by Time Warner shareholders to divide Bewkes' current position from that of chairman was rejected by company officials.