If I remember correctly, the Zorki-C bottom plate is pretty near identical to the 1e. The bottom plate is secured by turning the D toggle which turns a metal tongue into a groove in the side of the shutter crate. This is pretty obvious when you inspect it. On the tongue is a sticking up tab at roughly 45 degrees. This is like a pressure spring (it works against the edge of the grrove) to make everything snug.
I am guessing here so you will need to confirm for yourself. I would first bend the tongue itself down towards the baseplate - this should pull the baseplate back tight up against the body. If the tongue moves to stiffly or freely, you may need to adjust the tab slightly too. Be very careful in bending - the adjustment needed would be small and also it would very easy to damage the brass baseplate if the incorrect technique is used. The D toggle pivot has a screw head so I assume this could be dismantled - that would be a better technique for adjusting the tongue.
Good luck,
Paul