Kempin explained that former chief executive Bill Gates shot down the suggestion because he did not believe Sega had the potential to compete with Sony in the hardware sector.
"There was always talk maybe we buy Sega or something like that; that never materialised, but we were actually able to license them what they call Windows CE, the younger brother of Windows, to run on their system and make that their platform," he told IGN.
"But for Bill this wasn't enough, he didn't think that Sega had enough muscle to eventually stop Sony so we did our own Xbox thing.
"There were some talks but it never materialised because Sega was a very different bird. It was always Sony and Nintendo, right? And Nintendo had some financial trouble at that point in time, so Sony came out with the PlayStation and bang! They took off, and everyone else was left behind."
Kempin made the headlines last month when he criticised current Microsoft chief executive Steve Ballmer, claiming he is the wrong man to lead the company.
Sega's final hardware was the Dreamcast, which was released in Japan in 1998 before launching in the West the following year.