Making dua during Quran ayat of sajdah or sujūd

Is it permissible to make dua during a sunnah sajdah (i.e. one of the 15) in the Qu'ran? I remember reading somewhere that it is not permissible to do so - rather we should say subhana rabbi al A'la (x3) and raise after that. What is the most authentic opinion on this?