This hadith has been narrated on the authority of Sulaiman Taimi with the same chain of transmitters and in his narration (he) refers to Mu'awiya.
وَحَدَّثَنَاهُ أَبُو بَكْرِ بْنُ أَبِي شَيْبَةَ، حَدَّثَنَا يَحْيَى بْنُ سَعِيدٍ، عَنْ سُلَيْمَانَ التَّيْمِيِّ، بِهَذَا الإِسْنَادِ وَقَالَ فِي رِوَايَتِهِ يَعْنِي مُعَاوِيَةَ .
Muslim
The Book of Pilgrimage • Hadith 179