Generally speaking, for those on medications, consumption of alkaline water should be observed like this:

Do not drink ionized water 30 minutes before and up to 2 hours after taking medication.

The smaller cluster size of the ionized water makes the water penetrate the cells in our body much more quickly, and it is best not to interfere with the prescribed absorption rate of the medication.

Otherwise, you'll do yourself a big favor and get the best therapeutic benefit of the molecular hydrogen in the water by pouring a glass and drinking it right away (pound it) while the hydrogen gas is still in the water.