The Prophet ﷺ had Fadl ride behind him, and Fadl reported that the Prophet ﷺ continued reciting the talbiyah until he threw the pebbles at the Jamrah.
أن النبي ﷺ أردف الفضل، فأخبر الفضل أنه لم يزل يلبي حتى رمى الجمرة.
Bukhari reported it in the Book of Hajj (1685), and Muslim in the Book of Hajj (1281), both from the hadith of Ibn Jurayj, who said, "Ataa told me, Ibn Abbas told me," and he mentioned it.