I'm assuming you're testing this fan supply with no load on the main output?
Note how in the block diagram the fan supply has no regulation. With little to no load on the main rail only a very small amount of current will be available on the fan supply, since only a very low amount of power is being driven into the switching transformer.
The 10.8 volts you measured would probably disappear if you put a test load on the fan output, something like a 220 ohm 1 watt resistor. Put a few watts load on the main output and it will come right up.