ʿAbd al-Jabbār ibn Wāʾil, from his father, who said, “It is both an obligation and a sunnah that a man give the adhān (call to prayer) only when he is ritually pure, and only while standing.”
Al-Talkhīṣ comments: “Its chain is sound on the level of ḥasan, but it is broken, for it is established in Ṣaḥīḥ Muslim that ʿAbd al-Jabbār said, ‘I was a boy who did not yet comprehend my father’s prayer,’ and al-Nawawī reports the agreement of the ḥadīth experts that he never heard directly from his father.”
As for the report, “No one should give the adhān except while in wuḍūʾ (ablution),” it is weak and unreliable.
Al-Tirmidhī recorded it through Muʿāwiyah ibn Yaḥyā al-Ṣudafī, from al-Zuhrī, from Abū Hurayrah, as a marfūʿ narration. Muʿāwiyah is weak, as al-Ḥāfiẓ points out, and al-Zuhrī did not hear from Abū Hurayrah, as al-Tirmidhī himself observes.
He then cited it via Yūnus, from Ibn Shihāb, who reported that Abū Hurayrah used to say: “No one should call to the prayer except while in wuḍūʾ.” He added, “This version is more authentic than the first.”
I conclude that it is unsound, whether attributed to the Prophet ﷺ or kept as a statement of Abū Hurayrah, because both chains are disconnected.
Al-Tirmidhī also said: The scholars differ regarding giving the adhān without wuḍūʾ. Some disliked it—this is the view of al-Shāfiʿī and Isḥāq—whereas others permitted it, including Sufyān al-Thawrī, Ibn al-Mubārak, and Aḥmad.