Coil balance spring cover

I can't seem to find the right spring cover, the one I have measures 1 3/8" high-1 1/4" wide, and 9/16" wide, will also need the right barrel for that as well.

All the ones i see are almost an inch deep, not sure if those will work. Hopefully the measurements will help.

I did see one spring cover that was 1/2" deep but not quite as wide, it will fit in the window, would it be ok to use that one?