One answer might be to fit a steel shell to hold the bearing – but there might not be enough 'spare' metal to permit this. (And of course it is difficult to machine a part for a mill if the mill itself is out of order). Or perhaps a top-hat bush so that the flange (brim) can be held down by a ring of small screws, trapping the bearing so it cannot fidget. Just don't block the ventilation slots.
There are lots of alternative ideas for drive systems, better, cleverer motors, etc, so I will leave it to thers to explain, and perhaps offer links to previous comments.
Regards, Tim