It was recorded by Abū Dāwūd and Aḥmad. Al-Mundhirī remarked, “with a good chain of transmission,” and the eminent scholar Aḥmad Shākir endorsed that judgment in his notes on al-Tirmidhī.
I, however, remain unconvinced. The reason is that this Abū Thamāmah—although Ibn Ḥibbān listed him among the reliable transmitters in al-Thiqāt and even cited this ḥadīth in his Ṣaḥīḥ, as noted in Nayl al-Awṭār—is of unknown status. That is exactly how al-Ḥāfiẓ classifies him in al-Taqrīb, and al-Dāraqutnī declared, “Unknown; to be left,” a judgment repeated by al-Dhahabī in al-Mīzān where he adds, “Unknown.”
Still, one might argue that the report rises to the level of ḥasan when supported by the corroborating routes already discussed and those that will follow.
Second corroboration: Ibn Ḥibbān also included it in his Ṣaḥīḥ, stating, “Abū ʿArūbah told us; Muḥammad ibn Saʿdān told us; Sulaymān ibn ʿAbd Allāh narrated from ʿUbayd Allāh ibn ʿUmar and from Zayd ibn Abī Anīsah, from al-Ḥakam, from ʿAbd al-Raḥmān ibn Abī Laylā, from Kaʿb ibn ʿUjrah, in a marfūʿ form.” Al-ʿAynī cited this in ʿUmdat al-Qārī and remained silent about it. All the transmitters are deemed reliable except for Muḥammad ibn Saʿdān, whom I have been unable to identify. He may be Muḥammad ibn Saʿdān Abū Jaʿfar al-Bazzār, who narrated from Abū Jaʿfar al-Nufaylī, Fayḍ ibn Wathīq, and others; Abū ʿAbd Allāh al-Ḥakīmī transmitted from him. He has a brief entry in Tārīkh Baghdād, which records that he “died in 277 AH,” but offers no explicit appraisal—whether criticism or commendation.
In any case the chain is broken, for Sulaymān ibn ʿAbd Allāh, the son of Muḥammad ibn Sulaymān al-Ḥarrānī, died in 263 AH, so a chronological gap remains between him and the preceding narrator.