I wish we knew. It does remove toxins from the blood stream....can it possibly remove medication?
I know someone who had triple open heart surgery, and he started to oil pull after the surgery, and the doctor couldn't believe how well he was doing. I'm sorry I don't know if he was on medication.
My Mom has a pacemaker, and pulls with no ill effect.
Perhaps pulling for a very short duration to start might be the way to go. Easy does it. A couple of minutes. It can't be too much different from gargling.
Then increase as time goes on, in moderation. I think in this case, asking one's doctor would be advised, even though they might look at you like you were crazy. But it's just oil, not some kind of voodoo....
How does that sound?