Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
muslim:1211uSūwayd b. Saʿīd > ʿAlī b. Mushir > al-Aʿmash > Ibrāhīm > al-Aswad > ʿĀʾishah

We went out with the Messenger of Allah ﷺ pronouncing Talbiya having no explicit intention of Pilgrimage or 'Umra. The rest of the hadith is the same.  

مسلم:١٢١١uوَحَدَّثَنَاهُ سُوَيْدُ بْنُ سَعِيدٍ عَنْ عَلِيِّ بْنِ مُسْهِرٍ عَنِ الأَعْمَشِ عَنْ إِبْرَاهِيمَ عَنِ الأَسْوَدِ عَنْ عَائِشَةَ ؓ قَالَتْ

خَرَجْنَا مَعَ رَسُولِ اللَّهِ ﷺ نُلَبِّي لاَ نَذْكُرُ حَجًّا وَلاَ عُمْرَةً وَسَاقَ الْحَدِيثَ بِمَعْنَى حَدِيثِ مَنْصُورٍ