How much bearing oil?

I aquired a Heybrook TT2, 1980 vintage. It is basically a poor mans LP12. Because of it's age, I cleaned out the old bearing oil. I did this before realizing I did not have the original measuring syringe for injecting the bearing oil. I have a small bottle of new JA Mitchell synthetic bearing oil. Does anyone have an idea of how much I should use? The quantity in the bottle is tiny, but appears to be too much. Any suggestions would be greatly appreciated.