The actress spoke out about the Hunger Games star in an interview with MTV.
Asked if Lawrence could be America's next sweetheart, Roberts replied: "But she shoots flaming arrows! I mean, I think she's fabulous. She seems cooler than [a sweetheart]. Right, isn't she too cool to be?"
She then added: "How many of us are there now? My card is expired and I didn't get a new one."
The actress, who stars alongside Meryl Streep in upcoming movie August: Osage County, recently admitted that she refuses to Google herself.
Roberts said: "I have too much potential for collapse. There's an anonymity that makes people feel safe to participate in hatefulness. I like a good old-fashioned fistfight if people are pissed off at each other.
"I just feel like if you're really mad and want to have a fight,