The 44-year-old filmmaker hinted at the possibility of the prequel saying a lot of stories can be told revolving around the world of Panem, reported Entertainment Weekly.
"The interesting part of the story for me is to go back 75 years earlier and see how everything became the way it is," Lawrence said.
"I'm sure if Suzanne were to get inspired and decide there's another story that's important for her to tell that exists within the world of Panem and whether about the Dark Days, another character, or another set of Games, whatever that could be, I'm sure it would be great," he added.
"I just think with the end of this story, we've reached the end of Katniss' story. I think that Suzanne created such an iconic character, and I think she's the main reason why everyone comes back to these stories. Now, that's come to an end," he said.