Imam Ja'far al-Sadiq, may Allah have mercy on him, narrates from his (father Imam Muhammad al-Baqir, may Allah have mercy on him) the statement of Sayyiduna Jabir, may Allah be pleased with him: "When the Prophet Muhammad, peace and blessings be upon him, came to Makkah, he performed ramal (brisk walking) while performing tawaf."
Hadith Referenceصحیح ابن حبان / كتاب الحج / 3810
Hadith Gradingفضيلة الشيخ الإمام محمد ناصر الدين الألبانيصحيح - «حجة النبي» (ص 56).فضيلة الشيخ العلّامة شُعيب الأرناؤوطإسناده صحيح على شرط مسلم