This is a good hadith.

3112 – Huraym ibn Mis'ar narrated to us, saying: al-Fudayl ibn 'Iyad narrated to us, from Layth, from Abu al-Zubayr, from Jabir: that the Prophet, peace and blessings be upon him, would not sleep until he recited "Alif Lam Mim, the Revelation" (Sajdah) and "Blessed is He in Whose Hand is the Dominion" (al-Mulk).

This hadith has been narrated by more than one person from Layth ibn Abi Sulaym in a similar manner. And Mughirah ibn Muslim narrated it from Abu al-Zubayr, from Jabir, from the Prophet, peace and blessings be upon him, in a similar fashion.

And Zuhayr narrated, saying: I said to Abu al-Zubayr: "Did you hear this hadith from Jabir?" Abu al-Zubayr said: "Only Safwan, or Ibn Safwan, informed me of it." And it seems that Zuhayr objected to this hadith being [attributed] from Abu al-Zubayr [directly from Jabir].

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And it is in "al-Ahadith al-Mukhtarah" (1738) and (1739) by al-Diya' al-Maqdisi.
And 'Abd al-Razzaq (6025) and al-Tabarani (8651) narrated with a good chain from 'Abdullah ibn Mas'ud who said: It (i.e., Surah Tabarak) is the protector, it protects from the punishment of the grave.

(1) A sound hadith, but this chain is weak, due to the weakness of Layth ibn Abi Sulaym. However, Mughirah ibn Muslim—who is truthful and without issue—corroborated him. And Abu al-Zubayr did not hear this hadith from Jabir; rather, he heard it from Safwan ibn 'Abdullah ibn Safwan al-Qurashi, who is trustworthy.
And it was also recorded by al-Nasa'i in "'Amal al-Yawm wa al-Laylah" (706), (707), and (708). And it is in "Musnad Ahmad" (14659).
And it will come later from the author at number (3702).

(2) The narration of Abu al-Zubayr from Safwan was recorded by al-Nasa'i in "'Amal al-Yawm wa al-Laylah."