If he had any need of me, he would speak to me; otherwise, he would go out to the prayer. (1)

This is a good and authentic hadith.

Some scholars among the Companions of the Prophet, peace and blessings be upon him, and others disliked speaking after the break of dawn until the dawn prayer was performed, except for the remembrance of God or what was necessary. This is the view of Ahmad and Ishaq. (2)

195 - Chapter: What has been reported concerning that there is no prayer after the break of dawn except two rak'ahs

421 - Ahmad ibn 'Abadah al-Dabbi narrated to us, saying: 'Abd al-'Aziz ibn Muhammad narrated to us, from Qudamah ibn Musa, from Muhammad ibn al-Husayn, from Abu 'Alqamah, from Yasar, the freed slave of Ibn 'Umar, from Ibn 'Umar, that the Messenger of God, peace and blessings be upon him, said: "There is no prayer after the dawn (3)..."

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(1) Authentic; recorded by al-Bukhari (1168), Muslim (743), and Abu Dawud (1262) and (1263).
(2) Al-Hafiz said in "al-Fath" 3/45: This hadith is used as evidence for the permissibility of speaking between the two rak'ahs of the dawn prayer and the dawn prayer itself, contrary to those who disliked that. Ibn Abi Shaybah transmitted this 2/249-250 from Ibn Mas'ud, but it is not established from him, and he recorded it as authentic 2/250 from Ibrahim al-Nakha'i, Abu al-Sha'tha', and others.
Al-Nawawi said in "Sharh Muslim": In it is evidence for the permissibility of speaking after the sunnah of the dawn prayer, and this is our school, the school of Malik, and the majority. Al-Qadi said: The Kufans disliked it, and it is reported from Ibn Mas'ud and some of the Salaf that it is a time for seeking forgiveness, and it does not prevent speaking.
(3) In (B) and (S): "the rising of the dawn."