According to The Daily Telegraph, the two got VERY cosy on the red carpet for their New York premiere.
Well, photos don't lie, the two definitely looked a little flirty in between giggles and hand touching.
Neither of the stars has made a comment about the idea of a relationship together at this stage.
Lawrence, 27, was previously in a relationship with filmmaker Darren Aronofsky, 49. While Edgerton, 43, was once engaged to Balinese fashion designer Alexis Blake.