Grading: Its chain can possibly be graded "hasan", on account of Abu Bakr bin Abi al-'Awwam al-Riyahi (whose name is Muhammad bin Abi al-'Awwam) and his shaykh Abu Zayd.

Reference / Source: Ibn al-Shajari recorded it in his "Amali" (1/ 134) by way of Abu Bahr bin Muhammad bin al-Hasan bin Ali al-Barbahari, from Muhammad bin Yunus al-Kudaymi, from Abu Zayd Sa'id bin Aws, with this chain.
Technical note / Defect ('illah): Al-Kudaymi is "very weak" and accused of stealing hadith. And the one narrating from him (Abu Bahr) is "mukhallit" (confused in his narrations), overcome by heedlessness.

Reference / Source: Al-Bazzar (2521), al-Tabarani in "al-Kabir" (6097), al-Lalaka'i in "Usul al-I'tiqad" (2643), Ibn al-Maghazili in "Manaqib Ali" (233) and Ibn 'Asakir in "Tarikh Dimashq" (42/ 269, 291) recorded it by way of Abd al-Malik bin Musa al-Tawil, from Abu Hashim al-Rummani, from Zadhan Abu 'Umar, from Salman al-Farisi.
Grading: Its chain is "weak" because of Abd al-Malik bin Musa. Al-Dhahabi mentioned him in "Mizan al-I'tidal" and said: "It is not known who he is", and al-Azdi said: "He is munkar al-hadith."

Corroborating chains and supporting reports: It is supported by the hadith of Umm Salamah (may Allah be pleased with her), recorded by al-Tabarani in "al-Kabir" (23/ 901) and Abu Tahir al-Dhahabi in "al-Mukhallisiyyat" (2193), and by way of him Abu al-Qasim al-Asbahani in "al-Hujjah" (359) and Ibn 'Asakir (42/ 271).
Grading: Its chain is "weak". In it is Abu Jabir Muhammad bin Abd al-Malik, who is not strong, as Abu Hatim al-Razi said, and his shaykh in it, al-Hakam bin Muhammad, is "majhul". See the hadith of Umm Salamah with the author at number (4665).