Best way to know for sure, upload the game to cloud saves. I did this before selling my Xbox 360 couple years back, then after I got an Xbox One and I got in the Preview Program and downloaded some of the BC games offered in the trial program, it instantly recognized my game saves from the cloud and I just picked up where I left off. So, if there is a feature for transferring saves, make sure you're saves are on the cloud storage at least.
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