I assume you have the flat type bulb. Is it 120, 12, 24 volt? Does it plug into the socket with pins or screw in. There are more and more LED replacement bulbs coming out on the market now. I did a quick search but couldn't find a specific LED bulb for your light. I would think any LED bulb, at the right voltage, right pins or screw, shallow enough, and bright enough could be used. I've been replacing a lot of my outdoor low voltage halogens with LEDs. There are many more selections, though, in lower wattage bulbs.
One thing that could be done, maybe, is to replace just the receptacle for the bulb if you can't locate a specific bulb that meets your requirements.
If you could post your voltage, wattage, and how the bulb plugs or screw in that would help a lot.
BTW.... I have a brand new LED color changing Spa Light, 120 volt, 30 ft cord (whole light fixture and bulb) that I need to sell for a steal. I ordered the wrong light for my pool and waited too long to return it. I don't want to put it in my spa as we don't want that much light. I ended up buying a ColorSplash, color changing LED, standard screw base, to put into my old standard light bucket. I don't know what wattage the Spa light is it is but I can check.
gg=alice