Sayyiduna Abdullah bin Abbas (may Allah be pleased with them both) narrates: Whatever the Prophet (peace and blessings be upon him) performed tawaf around is counted as part of the House.
Imam Abu Ya'la recorded it, and its chain is hasan (good).
Hadith Referenceمجمع الزوائد ومنبع الفوائد / كتاب الحج / 5518