Cross-Save BL:HC

I have a question that I really want an answer to, that nobody else seems to be asking. Will I need and Xbox 360 to cross save to my Xbox One? My Xbox360 broke, that’s why I upgraded. Im sure im not the only person who doesn’t have their 360 anymore. I kept my hard drive with my borderlands data, but i put the console in storage because it no longer works. I just want someone reputable to answer me this before I purchase the Handsome Collection only to be dissapointed.