Ibn Khuthaym narrates: I asked Abu Tufayl: I said, those three sides against which one leans with the Ka'bah, so Abu Tufayl informed: I asked Sayyiduna Ibn Abbas about this: so he informed: On the occasion of the treaty with the Quraysh, when the Prophet Muhammad (peace be upon him) camped at the place of Maraz-Zuhr, the companions of the Prophet (peace be upon him) came to know that the Quraysh were saying: You people have made a treaty with the weak ones. So the companions of the Prophet (peace be upon him) submitted: O Messenger of Allah (peace be upon him)! If we eat the meat of our sacrificial animals and eat their fat and drink its broth (then strength will come into our bodies), so tomorrow morning we will enter Makkah and at that time we will appear strong. The Prophet (peace be upon him) said: No, rather bring what is left from your provisions of the journey. Then the people spread their dining cloths and gathered all their food items on it. So the Prophet (peace be upon him) prayed for blessing upon those things, so they ate it, and their stomachs were filled. They put the remaining things into their bags. When the Prophet (peace be upon him) came before the Quraysh, the Quraysh were gathered in front of the Black Stone (Hajar al-Aswad). The Prophet (peace be upon him) wrapped his garment as in idtiba‘, then the Prophet (peace be upon him) said to his companions: These people should not see any weakness in you. Then the Prophet (peace be upon him) performed istilam of the Yemeni Corner (Rukn Yamani). At that time the Quraysh moved to the other side (i.e., they were not visible). The Prophet (peace be upon him) and his companions walked at a normal pace until they performed istilam of the Black Stone (then they would start running). So the Prophet (peace be upon him) performed three circuits in this manner; these people would pass by the Quraysh running, so the Quraysh would say: They are running like deer. Sayyiduna Abdullah bin Abbas (may Allah be pleased with them both) says, so this is Sunnah.
Hadith Referenceصحیح ابن حبان / كتاب الحج / 3812
Hadith Gradingفضيلة الشيخ الإمام محمد ناصر الدين الألبانيصحيح - «صحيح أبي داود» (1650)، «الصحيحة» (2573).فضيلة الشيخ العلّامة شُعيب الأرناؤوطحديث صحيح رجاله ثقات رجال الصحيح