Sahih Muslim 1264
Sahih Muslim · Book 15: The Book of Pilgrimage · Raml (walking rapidly) is recommended in the Tawaf of Umrah, and in the first Tawaf of Hajj
Abu Tufail reported:
وَحَدَّثَنَا ابْنُ أَبِي عُمَرَ ، حَدَّثَنَا سُفْيَانُ ، عَنِ ابْنِ أَبِي حُسَيْنٍ ، عَنْ أَبِي الطُّفَيْلِ ، قَالَ قُلْتُ لاِبْنِ عَبَّاسٍ إِنَّ قَوْمَكَ يَزْعُمُونَ أَنَّ رَسُولَ اللَّهِ صلى الله عليه وسلم رَمَلَ بِالْبَيْتِ وَبَيْنَ الصَّفَا وَالْمَرْوَةِ وَهْىَ سُنَّةٌ . قَالَ صَدَقُوا وَكَذَبُوا .
I said to Ibn 'Abbas (Allah be pleased with them): People are of the view that Allah's Messenger (ﷺ) moved quickly round the House and between al-Safa and al-Marwa, and (thus) it is Sunnah. He said: They told the truth and they told the lie.