"He's (Kane) obviously had a pretty crazy year, and we know there's a lot of fans out there who would appreciate that opportunity just to have a chat with him," Jason Niles, sports and brand marketing manager for Asics was quoted as saying by stuff.co.nz.
Niles also said that when he pitched the idea to Williamson last week, the latter was "very comfortable" with it.
"Kane's a pretty relaxed character but I think he'd appreciate it if the person is as down to earth as he is. I think he's anticipating just having a good old Kiwi catch-up with someone who loves their cricket," he added.
The auction will close on next Thursday and the details of the meeting will then be confirmed keeping in view Williamson's busy schedule.
Kane had, in June this year, led the Black Caps to their second ever ICC World Cup final, where his side narrowly lost the summit clash to hosts England on a technicality.