@Brian *******
, Check your passport to see what you are on now.
If you are still on the entry stamp from the visa (90-days for Non-O for over 50, or up-to-365-days for Non-OA) with an actual visa sticker or eVisa PDF
-> The same as OP, you cannot transfer your visa. Carry both passports until the visa itself expires.
If you have already applied for a 1-year extension at the local immigration office (read the stamp)
-> Different from OP's case, you have to transfer the stamps to your new passport.