It is narrated from Ibn Umar (may Allah be pleased with them both) that when the Messenger of Allah (peace and blessings be upon him) performed Tawaf during Hajj and Umrah, he would run during the first three circuits and walk during the remaining four, then he would pray two rak'ahs, and then perform the Sa'i between Safa and Marwah.
Hadith Referenceمسند الإمام الشافعي / كتاب الحج / 956
Hadith Takhrijأخرجه البخاري، الحج، باب استلام الحجر الأسود حين يقدم مكة .... الخ (1603) ومسلم، الحج، باب استحباب الرمل في الطواف في العمرة..... الخ (1266)۔