Sahih Muslim 1262
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
وَحَدَّثَنَا أَبُو كَامِلٍ الْجَحْدَرِيُّ ، حَدَّثَنَا سُلَيْمُ بْنُ أَخْضَرَ ، حَدَّثَنَا عُبَيْدُ اللَّهِ بْنُ عُمَرَ ، عَنْ نَافِعٍ ، أَنَّ ابْنَ عُمَرَ ، رَمَلَ مِنَ الْحَجَرِ إِلَى الْحَجَرِ وَذَكَرَ أَنَّ رَسُولَ اللَّهِ صلى الله عليه وسلم فَعَلَهُ .
Nafi' reported that Ibn Umar (Allah he pleased with them) walked swiftly from stone to stone, and stated that Allah's Messenger (ﷺ) did like this.