(74) CHAPTER. A sick person may perform Tawaf (of the Kabah) while riding.
Narrated Ibn `Abbas: Allah's Apostle performed Tawaf (of the Ka`ba) ending a camel (at that time the Prophet had foot injury). Whenever he came to the Corner (having the Black Stone) he would point out towards it with a thing in his hand and say, Allahu-Akbar.
Authentic