Sahih Muslim 1335
Sahih Muslim · Book 15: The Book of Pilgrimage · Hajj on behalf of one who is incapable of doing it because of chronic illness, old age and the like, or on behalf of one who has died
Fadl reported that a woman of Banu Khath'am said:
حَدَّثَنِي عَلِيُّ بْنُ خَشْرَمٍ ، أَخْبَرَنَا عِيسَى ، عَنِ ابْنِ جُرَيْجٍ ، عَنِ ابْنِ شِهَابٍ ، حَدَّثَنَا سُلَيْمَانُ بْنُ يَسَارٍ ، عَنِ ابْنِ عَبَّاسٍ ، عَنِ الْفَضْلِ ، أَنَّ امْرَأَةً، مِنْ خَثْعَمَ قَالَتْ يَا رَسُولَ اللَّهِ إِنَّ أَبِي شَيْخٌ كَبِيرٌ عَلَيْهِ فَرِيضَةُ اللَّهِ فِي الْحَجِّ وَهُوَ لاَ يَسْتَطِيعُ أَنْ يَسْتَوِيَ عَلَى ظَهْرِ بَعِيرِهِ . فَقَالَ النَّبِيُّ صلى الله عليه وسلم " فَحُجِّي عَنْهُ " .
Messenger of Allah, my father is very old. There is an old obligation of Hajj upon him from Allah, but he is not capable of sitting on the back of the camel. Thereupon Allah's Apostle (ﷺ) said: Perform Hajj on his behalf.