The velocity dispersion of 7 Seyfert 1 galaxies at z \sim 0.37 is measured using high signal-to-noise Keck spectra .
Black hole ( BH ) mass estimates are obtained via an empirically calibrated photoionization method .
We derive the BH mass velocity dispersion relationship at z \sim 0.37 .
We find an offset with respect to the local relationship , in the sense of somewhat lower velocity dispersion at a fixed BH mass at z \sim 0.37 than today , significant at the 97 % level .
The offset corresponds to \Delta \log \sigma = -0.16 with rms scatter of 0.13 dex .
If confirmed by larger samples and independent checks on systematic uncertainties and selection effects , this result would be consistent with spheroids evolving faster than BHs in the past 4 Gyrs and inconsistent with pure luminosity evolution .