Does the Pi Zero Camera Module fit in Camera Mount?

I’m just wondering, does the new Raspberry Pi Zero Camera Module (CAM003) fit in your standard Raspberry Pi Camera Mount (PIM012)?
From the photos it looks like the camera itself should fit in the square hole, but I’m not sure if you can then fix the camera securely in the mount using the screws and nuts provided? Would it be possible to screw in a self-made flat back-plate to hold the camera in place?

It appears to fit, very, very snugly, in the square hole in the STS-PI camera mount, so I assume it probably fits snugly in the regular camera mount too.