P Channel Mosfet driving current
The gate of a MOSFET looks like a capacitor to the driving circuit.  It therefore takes current to change the gate voltage, but no current to hold it at a particular voltage.

If you connect the gate of a P channel MOSFET to something that can sink only a small amount of current, the gate voltage will go low slowly.  Whether that's a problem or not depends on the rest of your circuit.