The gate leakage current, for normal operation of this transistor, is not specified.
The I
GSS value, given in the data-sheet, is at the limits of V
GS. So, I think, we can take it as the way that they define the voltage limits of the gate. The same way, they define the V
DS breakdown and the V
GS(th); they specify a current limit and test at what voltage it happens.
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Our gate drive is so weak that we cant tolerate much higher than a few uA of leakage current from Gate to source.
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As your application seems as a linear operation of the transistor, you can make a simple test, for a draft estimation of the gate current. Use a variable source to drive the gate for a given output, for example I
D=0.5A and V
DS=2V and note the drive voltage. Next use a high value resistor (10 to 100 MOhms), adjust the drive voltage so to have the same output and note the new drive voltage. As the conditions (voltages, currents and temperature) are the same, the difference of the two drive voltages divided by the resistor value gives a draft estimation of the gate current.