You may suffer the same fate again if the LEDs are being driven from a voltage source.
If it's a variable voltage regulator, then it *may* be set up as a current source. If this is so, your LEDs should be safer in the long term.
(Considering that a current regulator requires fewer parts than a voltage regulator if using a common three terminal regulator, I would hope it's a current regulator!)
If it's a three terminal regulator (like an LM317) and the circuit has a single (generally low value) resistor, it's a current regulator. If there are 2 resistors (generally one will be between 220 ohms and 560 ohms, than the other, some number of kOhms) then it's a voltage regulator.
If it supplies more than just the LEDs it is also more likely to be a voltage regulator.