User blog comment:B214/Question and Answers 6/@comment-180.253.126.123-20160712180525/@comment-24.113.252.213-20160712192248

Since Sacred Gears are connected to the Soul, I think they would switch along with the Soul.

Although they might have trouble using the Sacred Gear in the new body, since that body might not be able to handle it (depending on what type of Sacred Gear were talking about). They might have to re-train themselves so the body they switched into can handle it.