We study the dynamics of a driven interface in a two-dimensional random-fie
ld Ising model close to the depinning transition at small but finite temper
atures T using Glauber dynamics. A square lattice is considered with an int
erface initially in the (11)-direction. The drift velocity v is analyzed us
ing finite-size scaling at T = 0 and additionally finite-temperature scalin
g close to the depinning transition. Ln both cases a perfect data collapse
is obtained from which we deduce beta approximate to 1/3 for the exponent w
hich determines the dependence of v on the driving field, nu approximate to
1 for the exponent of the correlation length and delta approximate to 5 fo
r the exponent which determines the dependence of v on T.