This hadith has been narrated by Ibn Juraij with the same chain of transmitters, and In his narration (the words are):" She (Asma') said: My son, Allah's Apostle (ﷺ) granted permission to women."
وَحَدَّثَنِيهِ عَلِيُّ بْنُ خَشْرَمٍ، أَخْبَرَنَا عِيسَى بْنُ يُونُسَ، عَنِ ابْنِ جُرَيْجٍ، بِهَذَا الإِسْنَادِ وَفِي رِوَايَتِهِ قَالَتْ لاَ أَىْ بُنَىَّ إِنَّ نَبِيَّ اللَّهِ صلى الله عليه وسلم أَذِنَ لِظُعُنِهِ .
Muslim
The Book of Pilgrimage • Hadith 327