Does a MOSFET need current to operate without switching on and off fast?
Figure out the switching time from the gate charge, then look at Figure 11 on the MOSFET data sheet (Safe Operating Area) and add some safety margin. 

It can supply maybe 5uA, and the gate charge under high voltage conditions is a whopping 40nC. 5uA is 5uC/s so 40nC will take 8ms to switch. Let's call that 10-20ms to be safe

If it takes 10ms+ to switch, you probably need to keep the drain current well under an ampere, assuming a few hundred volts Vds, based on Figure 11. 



These are calculated (not measured) single pulse curves, based on a Tj of 150°C and with the case held at an (generally impossible) 25°C. In other words.. very much the best possible case.