Ultrafast pump-probe reflectometry and Doppler spectrometry of a supercritical density plasma layer excited by 10 17 − 10 18 W/cm 2 intensity, 30 fs, 800 nm laser pulses reveal the interplay of laser intensity contrast and inward shock wave strength. The inward shock wave velocity increases with an increase in laser intensity contrast. This trend is supported by simulations as well as by a separate independent experiment employing an external prepulse to control the inward motion of the shock wave. This kind of cost-effective control of shock wave strength using femtosecond pulses could open up new applications in medicine, science, and engineering.