When the Prophet ﷺ arrived, he circled the Kaaba while wearing a Hadrami cloak draped under his right arm and over his left shoulder.
حدثنا وكيع حدثنا سفيان عن ابن جريج
أن النبي ﷺ لما قدم طاف بالبيت وهو مضطبع ببرد له حضرمي
Its isnad is sahih, mentioned previously at 17876.