It is narrated from Sayyiduna Ibn Umar (may Allah be pleased with them both) that the Prophet (peace and blessings be upon him) performed the first three circuits of Tawaf at a brisk pace during Hajj and Umrah, and the remaining four circuits at a normal pace.
Hadith Referenceمسند احمد / مسند المكثرين من الصحابة / 6081