We investigate using scaling methods and Monte Carlo simulations random AB-copolymers at the interface between two good solvents. The asymmetry of the interface potential gives rise to an adsorption-desorption transition which shows for infinitely long chains a critical point. For finite chains we analyze the crossover scaling behavior near this critical point. Two new interface exponents, namely the crossover exponent phi and the interface order parameter exponent beta are proposed. Simulation results obtained using the bond fluctuation model agree well with the scaling predictions. From the simulation data we obtain as best estimates phi=1.3+/-0.1 and beta=0.35+/-0.04.