You could connect it this way too but in this case the gate control signal should be greater than Vgs + Vcc (Vgs = minimum Vgs threshold, Vcc = your circuit power supply voltage (1.2V))
What's your control signal anyway? (voltage level)
By 0.8-1V I was reffering to Mosfet Vgs threshold parameter (the actual voltage level you need to control that Mosfet).
The voltage drop in on state is very-very low for almost any Mosfet you may use (as your load current it's small).
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Warpspeed, we still don't know the parameters of his control voltage. Maybe he actually have a 3.3-5-12V signal (a MCU or something) to control the Mosfet (after all, I believe he wants to remote control the switch turn-on/off).