Hafsa told me that the Prophet (ﷺ) used to offer two Rakat after the call maker had made the Adhan and the day had dawned.
In-book : Book 19, Hadith 58
USC-MSA web (English) : Vol. 2, Book 21, Hadith 275 (deprecated)
19. Prayer at Night (Tahajjud)
باب فَضْلِ الْعِشَاءِ فِي الْجَمَاعَةِ