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.
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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.