I have almost the same lathe but 12" swing and badged as Enco. My owner's manual lists the 10" version too, and the differences are slight.
Each spindle bearing is sealed inside and outside the headstock with seals that are not part of the bearing. So if the seal has failed allowing oil to leak out, replacing the bearing won't help. It's the seal you need. Dunno if those are available.
When I did a total tear-down on mine, the advice here was to leave the spindle alone, but I ignored it and removed, cleaned and reassembled the spindle, and re-set the preload. Gratifying to have it done and everything clean, but I thought I damaged one of the seals either while dis- or re-assembling. I put a crease in the plastic that looked like it would cause a leak. But now 3 years later it still holds oil, almost never have to add more. I used non-detergent 30 wt.
If you're not as lucky as I was and your seal damage really is causing an oil leak, of course the first hope is the seals are available as replacements. Sorry, no idea if such a thing exists. But if not, maybe try finding the leak and putting it at the top of the bearing. That will prevent oil pouring out while the lathe sits unused at least, and probably slow the leak even when running. No help if it leaks all the way around, but a possibility if there's just one spot that leaks.
Good luck.