The effects of the Lewis number of the fuel LeF on the statistics of the density weighted displacement speed of Sd∗ edge flames originating from localised ignition of turbulent fuel–air mixing layers under decaying turbulence are studied using 3D direct numerical simulations (DNS) with simplified chemistry for LeF=0.8, 1.0 and 1.2. The edge flame propagation is analysed in terms of the reaction, normal diffusion and tangential diffusion components of Sd∗. The variations of Sd∗ in response to mixture fraction gradient ∣∇ξ∣ and curvature are found to be non-linear and consistent with previous DNS with detailed chemistry and experimental studies with laminar flames. It is shown that LeF significantly affects the strength of these correlations and the probability of finding negative Sd∗ decreases, while the mean value of Sd∗ increases, with decreasing LeF. The fuel consumption rate is highest (lowest) in the LeF=0.8 (LeF=1.2) flame. This in turn affects the statistics principally through the reaction component of Sd∗. The results imply that care is needed when extrapolating knowledge from gaseous fuel edge flame studies done with methane (LeF≈1) to liquid hydrocarbon fuels with LeF>1 or hydrogen enriched fuels with LeF<1.