Raml (walking rapidly) is recommended in the Tawaf of Umrah, and in the first Tawaf of Hajj
وَحَدَّثَنَا مُحَمَّدُ بْنُ الْمُثَنَّى، حَدَّثَنَا يَزِيدُ، أَخْبَرَنَا الْجُرَيْرِيُّ، بِهَذَا الإِسْنَادِ نَحْوَهُ غَيْرَ أَنَّهُ قَالَ وَكَانَ أَهْلُ مَكَّةَ قَوْمَ حَسَدٍ . وَلَمْ يَقُلْ يَحْسُدُونَهُ .
This hadith has been narrated on the authority of jurairi with the same chain of transmitters but with a slight variation of words (and this is) that he (the narrator) did not say:" They felt jealous of him. but said: The people of Mecca, were jealous people."