The finasteride might still work. It doesn't act as a regrowth medicine or anything like that - it prevents your body from converting testosterone to DHT, which is thought to be a contributing factor for male pattern baldness. So, if you're body is producing any T at all, even minimal amounts, it might be worth taking, just as a preventative.
It looks like you're already getting your finasteride this way, but for anyone who isn't aware. If you're getting Finasteride as Proscar rather than Propecia, it's most likely only going to be costing you a couple bucks a month, rather than like 100. At least, that's the case in the US.
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