  We show that initial conditions for small-field inflation can be determined
quantum mechanically by introducing a suitable flattened region in the scalar
potential. The inflaton is then driven towards the slow-roll attractor solution
exponentially fast, desensitising inflation from the initial velocity and
partially evading the so-called overshoot problem. We give an explicit example
in the context of hilltop inflation by introducing an ultra slow-roll plateau
around the maximum of the potential and analyse its effect on the phase-space
trajectories.
