Sayyiduna Jabir bin Abdullah (may Allah be pleased with them both) said that the Messenger of Allah (peace and blessings be upon him) performed ramal (brisk walking) in the first three circuits from the Black Stone to the Black Stone.
Hadith Referenceسنن دارمي / من كتاب المناسك / 1878
It is narrated from Sayyiduna Ibn Umar (may Allah be pleased with them both) that when the Messenger of Allah (peace and blessings be upon him) performed the first circumambulation (tawaf) of the Sacred House (Baytullah), he would walk briskly in three circuits and walk at his normal pace in four circuits, and while performing sa’i between Safa and Marwah, he would run in the middle. Abdullah said: I asked Nafi’: Did Sayyiduna Abdullah bin Umar (may Allah be pleased with them both) walk between the Yemeni Corner and (the Black Stone)? He said: No, except when there was a crowd at the Yemeni Corner, because he would never leave touching it.
Hadith Referenceسنن دارمي / من كتاب المناسك / 1879
Sayyiduna Ibn Umar (may Allah be pleased with them both) said: The Messenger of Allah (peace and blessings be upon him) performed ramal (brisk walking) from the Black Stone to the Black Stone in three circuits, and completed four circuits walking normally.
Hadith Referenceسنن دارمي / من كتاب المناسك / 1880