Do I need to stop taking the med that caused the hair loss? Will hair loss eventually cease anyway?

If the medication is causing the hair loss, then it most likely will continue to cause the hair loss and it is a good idea to determine with your doctor what other medications you can take that may have fewer reports of this side effect. You may also want to consider seeing a hair specialist for nonsurgical hair restoration solutions to address the loss you now have.

I would advise that you see a specialist before concluding a medication caused hair loss. Hair loss caused by selective serotonin reuptake inhibitor (SSRI) type medications is usually all over the scalp rather than in one area. While it could be related, see a specialist to confirm. 

When medications cause hair loss, stopping it should be a decision with your doctor. There are also other medications that might not give you hair loss so discuss this with your doctor