This hadith has been reported on the authority of Ayyub with a slight variation of wording.
Sahih Muslim Book 37, Hadith 59
← Previous Hadith It was in these (clothes) that Allah's Messenger (ﷺ) died. Ibn Hatim (one of the narrators) in his narration Wd: The lower garment of coarse cloth.

Sahih Muslim Book 37, Hadith 58 Next Hadith → A'isha reported that Allah's Apostle (ﷺ) went out one morning wearing a blanket made of (camel's or sheep's) black hair with patterns of camel saddles upon it.

Sahih Muslim Book 37, Hadith 60