Any idea what to do if your drum isn't tight enough?

This isn't a bodhran, it's a def - a Kurdish drum like a large bodhran with no crossbars and a "snare" made or linked metal rings that hang inside and jingle against the skin along the top edge. You play it with your fingers. I bought it direct from the maker's stall in the butchery section of the market in Urfa. But it was the middle of summer and the temperature was 45C with humidity near zero. In Scottish weather it's far too dull.

If I heat it up to dry it out and then apply an oil like neatsfoot or Nikwax, will it stay tight?