I heard Ibn Abbas (Allah be pleased with him) narrating to us that Messenger of Allah ﷺ said to a woman of the Ansar (Ibn Abbas had mentioned her name but I have forgotten it): 'What has prevented you that you do not perform Hajj along with us? She said: We have only two camels for carrying water. One of the camels has been taken by my husband and my son for performing Hajj and one has been left for us for carrying water, whereupon he (the Holy Prophet) said: So when the month of Ramadan come, perform Umra, for'Umra in this (month) is equal to Hajj (in reward).  

يُحَدِّثُنَا قَالَ قَالَ رَسُولُ اللَّهِ ﷺ لاِمْرَأَةٍ مِنَ الأَنْصَارِ سَمَّاهَا ابْنُ عَبَّاسٍ فَنَسِيتُ اسْمَهَا مَا مَنَعَكِ أَنْ تَحُجِّي مَعَنَا قَالَتْ لَمْ يَكُنْ لَنَا إِلاَّ نَاضِحَانِ فَحَجَّ أَبُو وَلَدِهَا وَابْنُهَا عَلَى نَاضِحٍ وَتَرَكَ لَنَا نَاضِحًا نَنْضِحُ عَلَيْهِ قَالَ فَإِذَا جَاءَ رَمَضَانُ فَاعْتَمِرِي فَإِنَّ عُمْرَةً فِيهِ تَعْدِلُ حَجَّةً  

What has prevented you that you did not perform Hajj with us? She said: The father of so and so (i. e. her husband) had only two camels. One of them had been taken away by him (my busbard) and his son for Hajj, whereas the other one is used by our boy to carry water. Upon this he (the Holy Prophet) said: Umra during the month of Rawadin would suffice for Hajj or Hajj along with me.  

أَنَّ النَّبِيَّ ﷺ قَالَ لاِمْرَأَةٍ مِنَ الأَنْصَارِ يُقَالُ لَهَا أُمُّ سِنَانٍ مَا مَنَعَكِ أَنْ تَكُونِي حَجَجْتِ مَعَنَا قَالَتْ نَاضِحَانِ كَانَا لأَبِي فُلاَنٍ زَوْجِهَا حَجَّ هُوَ وَابْنُهُ عَلَى أَحَدِهِمَا وَكَانَ الآخَرُ يَسْقِي عَلَيْهِ غُلاَمُنَا قَالَ فَعُمْرَةٌ فِي رَمَضَانَ تَقْضِي حَجَّةً أَوْ حَجَّةً مَعِي