Sayyidah Aisha (may Allah be pleased with her) narrated that the Prophet Muhammad (peace and blessings be upon him) used to keep the two (Sunnah) rak'ahs before the (obligatory) Fajr prayer very short. Whether he recited Surah Al-Fatihah in them or not, I cannot say.
Hadith Referenceاللؤلؤ والمرجان / كتاب صلاة المسافرين وقصرها / 421
Hadith Gradingمحدثین:«صحیح»
Hadith Takhrij«صحیح، أخرجه البخاري في: 19 كتاب التهجد: 28 باب ما يقرأ في ركعتي الفجر»