We have studied the growth of a wetting layer at the surface of a crit
ical mixture of hexadecane and acetone from a quiescent bulk phase. Th
e wetting layer exhibits universal dynamic scaling behavior as a funct
ion of t/t(D), where t(D) is the characteristic diffusion time. The th
ickness increases linearly with time and the time to reach equilibrium
is 10(8)t(D). We propose a simple model which qualitatively explains
this behavior.