I got to wondering- so I want back and checked. This may be on the small side depending on how accurate your measurements are.
7/8" is .875, the GE bobbin is .825 while the FW is .865, and is too large in diameter to fit. This is 3/64" difference between your measurement and my GE bobbin, which is less than 1/16" of an inch, so pretty hard to tell with a tape measure.