XT/XTR brakes have an "auto ajust" mechanism that should avoid this from happening. Unfortunately the only way to fix this would be to bleed them, this would reset the auto ajustment and also the engagement point of the lever.

If bleeding is not an immediate option there is another way of getting arround this, however it requires some technical skill.

Pull off the wheel and insert a clean piece of metal or plastic slightly thinner than your brake disc in between the disc pads, squeez the lever and reinstall your wheel. If you can't find a spacer try sqweezing the lever slightly. The object is to get the rubber seals that retract the pads to move closer to the rotor. This moves the levers engagement point further outboard. If the brakes drag after your adjustments, simply remove the wheels and pry the pads a part with a clean flat flat head screw driver. Pump the levers with the wheels in place to reset the pads and try once more. The idea is to trick the XTR into engaging earlier, reducing the levers distance before pad contact.