Doubt it will work then unless you can drill it out to 16mm. Top is 17.8 mm. Then your going to need at least .800 " for depth or 20.32mm and that is cutting it close. Really you would want a bit more room for the depth to give you a little space to work with.
One last thing I thought of. If I got a switch with led or illumination, would have to connect it? Like if i didnt like it or something? But still use the switch?