[adrian_b]

Coriolis forces appear only on objects that have a translation motion relative to the Earth, and which also has a direction distinct from that of the rotation of the Earth, i.e. either a north to south (or reverse) or vertical motion.

If the axis of the spinning top is stationary relatively to Earth, there are no Coriolis forces.

For a big spinning top, there could be non-negligible periodic Coriolis forces acting on the periphery of the spinning top, but they would be compensated by the rigidity of the top and in any case their average over a complete rotation of the top would be null.