The mixture which supports combustion is pretty lean, just a few percent fuel & 90+% air. So any underground reservoir needs to be very close to empty to be combustible.
Also, the common image of oil exporation is of large caverns full of liquid. Not so.
The reality is a lot closer to a kitchen sponge saturated with liquid. The well-end pulls fluid from one particular spot inside the sponge & ambient pressure causes the liquid to flow from elsewhere into that local spot. So over time you can extract all the liquid just by pulling from one spot. But that doesn’t cause or require a large void anywhere.