The request is easy even if you are accepted at the school where your scholarship is placed. However, if there is no space left at the school you wish to transfer to, you will have to wait.
My DS transferred his scholarship twice. First time from a school he is waitlisted at. Then from that school, which he was admitted to, to another school where he was admitted to. (I hope this makes sense). Both of the changes approved the same day he submitted the paperwork. I would suggest you print out, sign and then email your transfer request form. That seemed to work for DS.