Shaky pole style table leg - updated

I know I read on here in the past where folks complained about the shaky pole style table legs. Didn't pay too much attention since we didn't have one. Well, now we do and I absolutely hate it. It is a free standing table in our B where the sides flip up to make it bigger and it sits on a pole that goes into the floor. It's tippy and we're always spilling drinks and plates even want to slide off the table if we aren't careful to keep it straight.

The pole seems to fit tightly in the bracket under the table, but is looser where it goes into the bracket in the floor.

Anyone come up with a solution for some way to stabilize it?