Will my sax fit in this case?

I have a 40-something year-old CONN Alto Sax, and I need a soft case for my trip to Orlando, so I can use it as a carry-on. However, the keys located on the bell of my sax are on the opposite side, other than the side that most sax's keys are. Will it fit in this case even though the keys won't fit right in the case? there is supposedly 20 mm of padding.