The 26-year-old, who missed out on competing at Beijing 2008 due to injury, won Olympic gold in the heptathlon on Saturday, when she posted a new British record in the 100m hurdles event.
"We've not even thought about [Rio]," Ennis told The Star. "That's something I'll think about in the next few weeks.
"I want to enjoy this moment now. Four years is a long way away and lots can happen. I'll just take each year as it comes."
Meanwhile, the Sheffield-born athlete recently revealed that she may take up the 100m hurdles after she has finished competing in the heptathlon.