Você não precisa obter outro certificado de piloto de estudante. O endosso que você precisa não é para pilotos estudantis.
70. To act as PIC of an aircraft in solo operations when the pilot does not hold an appropriate category/class rating: § 61.31(d)(2).
I certify that (First name, MI, Last name) has received the training as required by § 61.31(d)(2) to serve as a PIC in a (specific category and class of aircraft). I have determined that he/she is prepared to serve as PIC in that (make and model) aircraft. Limitations: (optional). /s/ [date] J. J. Jones 987654321CFI Exp. 12-31-19
A resposta está na Circular Assessora 61-65 . A versão F é a mais recente.